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Finding the Fourth Proportional to 15,532.29, 21,437.87 and 9,483.82

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Solution

The fourth proportional to 15,532.29, 21,437.87 and 9,483.82 is: 13,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.29 : 21,437.87 = 9,483.82 : x
  2. Step 2: Convert to fraction form
    15,532.29/21,437.87 = 9,483.82/x
  3. Step 3: Cross multiply
    15,532.29x = 21,437.87 × 9,483.82
  4. Step 4: Simplify right side
    15,532.29x = 203,312,799.25
  5. Step 5: Solve for x
    x = 203,312,799.25/15,532.29
  6. Step 6: Final answer
    x = 13,089.69

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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.