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Finding the Fourth Proportional to 25,876.70, 35,713.62 and 14,547.13

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Solution

The fourth proportional to 25,876.70, 35,713.62 and 14,547.13 is: 20,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.70 : 35,713.62 = 14,547.13 : x
  2. Step 2: Convert to fraction form
    25,876.70/35,713.62 = 14,547.13/x
  3. Step 3: Cross multiply
    25,876.70x = 35,713.62 × 14,547.13
  4. Step 4: Simplify right side
    25,876.70x = 519,530,672.91
  5. Step 5: Solve for x
    x = 519,530,672.91/25,876.70
  6. Step 6: Final answer
    x = 20,077.16

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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.