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Finding the Fourth Proportional to 25,160.69, 34,721.02 and 13,830.18

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Solution

The fourth proportional to 25,160.69, 34,721.02 and 13,830.18 is: 19,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,160.69 : 34,721.02 = 13,830.18 : x
  2. Step 2: Convert to fraction form
    25,160.69/34,721.02 = 13,830.18/x
  3. Step 3: Cross multiply
    25,160.69x = 34,721.02 × 13,830.18
  4. Step 4: Simplify right side
    25,160.69x = 480,197,843.47
  5. Step 5: Solve for x
    x = 480,197,843.47/25,160.69
  6. Step 6: Final answer
    x = 19,085.24

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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.