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Finding the Fourth Proportional to 14,681.67, 21,983.29 and 8,432.31

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Solution

The fourth proportional to 14,681.67, 21,983.29 and 8,432.31 is: 12,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.67 : 21,983.29 = 8,432.31 : x
  2. Step 2: Convert to fraction form
    14,681.67/21,983.29 = 8,432.31/x
  3. Step 3: Cross multiply
    14,681.67x = 21,983.29 × 8,432.31
  4. Step 4: Simplify right side
    14,681.67x = 185,369,916.10
  5. Step 5: Solve for x
    x = 185,369,916.10/14,681.67
  6. Step 6: Final answer
    x = 12,625.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.