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Finding the Fourth Proportional to 21,681.60, 32,506.64 and 14,644.17

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Solution

The fourth proportional to 21,681.60, 32,506.64 and 14,644.17 is: 21,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.60 : 32,506.64 = 14,644.17 : x
  2. Step 2: Convert to fraction form
    21,681.60/32,506.64 = 14,644.17/x
  3. Step 3: Cross multiply
    21,681.60x = 32,506.64 × 14,644.17
  4. Step 4: Simplify right side
    21,681.60x = 476,032,689.07
  5. Step 5: Solve for x
    x = 476,032,689.07/21,681.60
  6. Step 6: Final answer
    x = 21,955.61

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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.