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Finding the Fourth Proportional to 25,873.50, 35,705.67 and 14,695.74

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Solution

The fourth proportional to 25,873.50, 35,705.67 and 14,695.74 is: 20,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,873.50 : 35,705.67 = 14,695.74 : x
  2. Step 2: Convert to fraction form
    25,873.50/35,705.67 = 14,695.74/x
  3. Step 3: Cross multiply
    25,873.50x = 35,705.67 × 14,695.74
  4. Step 4: Simplify right side
    25,873.50x = 524,721,242.85
  5. Step 5: Solve for x
    x = 524,721,242.85/25,873.50
  6. Step 6: Final answer
    x = 20,280.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.