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Finding the Fourth Proportional to 16,372.48, 24,569.22 and 16,312

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Solution

The fourth proportional to 16,372.48, 24,569.22 and 16,312 is: 24,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,372.48 : 24,569.22 = 16,312 : x
  2. Step 2: Convert to fraction form
    16,372.48/24,569.22 = 16,312/x
  3. Step 3: Cross multiply
    16,372.48x = 24,569.22 × 16,312
  4. Step 4: Simplify right side
    16,372.48x = 400,773,116.64
  5. Step 5: Solve for x
    x = 400,773,116.64/16,372.48
  6. Step 6: Final answer
    x = 24,478.46

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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.