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Finding the Fourth Proportional to 25,842.80, 35,661.80 and 14,510.90

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Solution

The fourth proportional to 25,842.80, 35,661.80 and 14,510.90 is: 20,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.80 : 35,661.80 = 14,510.90 : x
  2. Step 2: Convert to fraction form
    25,842.80/35,661.80 = 14,510.90/x
  3. Step 3: Cross multiply
    25,842.80x = 35,661.80 × 14,510.90
  4. Step 4: Simplify right side
    25,842.80x = 517,484,939.05
  5. Step 5: Solve for x
    x = 517,484,939.05/25,842.80
  6. Step 6: Final answer
    x = 20,024.34

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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.