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Finding the Fourth Proportional to 15,577.72, 21,490.16 and 9,287.80

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Solution

The fourth proportional to 15,577.72, 21,490.16 and 9,287.80 is: 12,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.72 : 21,490.16 = 9,287.80 : x
  2. Step 2: Convert to fraction form
    15,577.72/21,490.16 = 9,287.80/x
  3. Step 3: Cross multiply
    15,577.72x = 21,490.16 × 9,287.80
  4. Step 4: Simplify right side
    15,577.72x = 199,596,308.05
  5. Step 5: Solve for x
    x = 199,596,308.05/15,577.72
  6. Step 6: Final answer
    x = 12,812.93

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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.