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Finding the Fourth Proportional to 21,724.95, 32,602.98 and 9,253.71

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Solution

The fourth proportional to 21,724.95, 32,602.98 and 9,253.71 is: 13,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.95 : 32,602.98 = 9,253.71 : x
  2. Step 2: Convert to fraction form
    21,724.95/32,602.98 = 9,253.71/x
  3. Step 3: Cross multiply
    21,724.95x = 32,602.98 × 9,253.71
  4. Step 4: Simplify right side
    21,724.95x = 301,698,522.06
  5. Step 5: Solve for x
    x = 301,698,522.06/21,724.95
  6. Step 6: Final answer
    x = 13,887.19

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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.