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Finding the Fourth Proportional to 21,585.88, 32,356.14 and 9,889.48

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Solution

The fourth proportional to 21,585.88, 32,356.14 and 9,889.48 is: 14,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.88 : 32,356.14 = 9,889.48 : x
  2. Step 2: Convert to fraction form
    21,585.88/32,356.14 = 9,889.48/x
  3. Step 3: Cross multiply
    21,585.88x = 32,356.14 × 9,889.48
  4. Step 4: Simplify right side
    21,585.88x = 319,985,399.41
  5. Step 5: Solve for x
    x = 319,985,399.41/21,585.88
  6. Step 6: Final answer
    x = 14,823.83

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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.