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Finding the Fourth Proportional to 14,583.64, 20,124.84 and 8,916.40

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Solution

The fourth proportional to 14,583.64, 20,124.84 and 8,916.40 is: 12,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.64 : 20,124.84 = 8,916.40 : x
  2. Step 2: Convert to fraction form
    14,583.64/20,124.84 = 8,916.40/x
  3. Step 3: Cross multiply
    14,583.64x = 20,124.84 × 8,916.40
  4. Step 4: Simplify right side
    14,583.64x = 179,441,123.38
  5. Step 5: Solve for x
    x = 179,441,123.38/14,583.64
  6. Step 6: Final answer
    x = 12,304.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.