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Finding the Fourth Proportional to 25,107.68, 34,648.29 and 14,497.08

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Solution

The fourth proportional to 25,107.68, 34,648.29 and 14,497.08 is: 20,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.68 : 34,648.29 = 14,497.08 : x
  2. Step 2: Convert to fraction form
    25,107.68/34,648.29 = 14,497.08/x
  3. Step 3: Cross multiply
    25,107.68x = 34,648.29 × 14,497.08
  4. Step 4: Simplify right side
    25,107.68x = 502,299,031.99
  5. Step 5: Solve for x
    x = 502,299,031.99/25,107.68
  6. Step 6: Final answer
    x = 20,005.80

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