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Finding the Fourth Proportional to 16,085.98, 24,130.80 and 14,432.38

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Solution

The fourth proportional to 16,085.98, 24,130.80 and 14,432.38 is: 21,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.98 : 24,130.80 = 14,432.38 : x
  2. Step 2: Convert to fraction form
    16,085.98/24,130.80 = 14,432.38/x
  3. Step 3: Cross multiply
    16,085.98x = 24,130.80 × 14,432.38
  4. Step 4: Simplify right side
    16,085.98x = 348,264,875.30
  5. Step 5: Solve for x
    x = 348,264,875.30/16,085.98
  6. Step 6: Final answer
    x = 21,650.21

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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.