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Finding the Fourth Proportional to 21,585.84, 29,785.97 and 12,024.20

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Solution

The fourth proportional to 21,585.84, 29,785.97 and 12,024.20 is: 16,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.84 : 29,785.97 = 12,024.20 : x
  2. Step 2: Convert to fraction form
    21,585.84/29,785.97 = 12,024.20/x
  3. Step 3: Cross multiply
    21,585.84x = 29,785.97 × 12,024.20
  4. Step 4: Simplify right side
    21,585.84x = 358,152,251.42
  5. Step 5: Solve for x
    x = 358,152,251.42/21,585.84
  6. Step 6: Final answer
    x = 16,592.00

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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.