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Finding the Fourth Proportional to 25,342.77, 34,973.10 and 14,164.77

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Solution

The fourth proportional to 25,342.77, 34,973.10 and 14,164.77 is: 19,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.77 : 34,973.10 = 14,164.77 : x
  2. Step 2: Convert to fraction form
    25,342.77/34,973.10 = 14,164.77/x
  3. Step 3: Cross multiply
    25,342.77x = 34,973.10 × 14,164.77
  4. Step 4: Simplify right side
    25,342.77x = 495,385,917.69
  5. Step 5: Solve for x
    x = 495,385,917.69/25,342.77
  6. Step 6: Final answer
    x = 19,547.43

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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.