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Finding the Fourth Proportional to 15,802.32, 23,710.40 and 7,488.27

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Solution

The fourth proportional to 15,802.32, 23,710.40 and 7,488.27 is: 11,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.32 : 23,710.40 = 7,488.27 : x
  2. Step 2: Convert to fraction form
    15,802.32/23,710.40 = 7,488.27/x
  3. Step 3: Cross multiply
    15,802.32x = 23,710.40 × 7,488.27
  4. Step 4: Simplify right side
    15,802.32x = 177,549,839.57
  5. Step 5: Solve for x
    x = 177,549,839.57/15,802.32
  6. Step 6: Final answer
    x = 11,235.68

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