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Finding the Fourth Proportional to 25,802.52, 38,721.04 and 9,386.52

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Solution

The fourth proportional to 25,802.52, 38,721.04 and 9,386.52 is: 14,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.52 : 38,721.04 = 9,386.52 : x
  2. Step 2: Convert to fraction form
    25,802.52/38,721.04 = 9,386.52/x
  3. Step 3: Cross multiply
    25,802.52x = 38,721.04 × 9,386.52
  4. Step 4: Simplify right side
    25,802.52x = 363,455,816.38
  5. Step 5: Solve for x
    x = 363,455,816.38/25,802.52
  6. Step 6: Final answer
    x = 14,086.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.