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Finding the Fourth Proportional to 24,875.56, 34,328.10 and 13,697.56

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Solution

The fourth proportional to 24,875.56, 34,328.10 and 13,697.56 is: 18,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,875.56 : 34,328.10 = 13,697.56 : x
  2. Step 2: Convert to fraction form
    24,875.56/34,328.10 = 13,697.56/x
  3. Step 3: Cross multiply
    24,875.56x = 34,328.10 × 13,697.56
  4. Step 4: Simplify right side
    24,875.56x = 470,211,209.44
  5. Step 5: Solve for x
    x = 470,211,209.44/24,875.56
  6. Step 6: Final answer
    x = 18,902.54

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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.