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Finding the Fourth Proportional to 16,381.51, 24,569.12 and 5,285.52

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Solution

The fourth proportional to 16,381.51, 24,569.12 and 5,285.52 is: 7,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.51 : 24,569.12 = 5,285.52 : x
  2. Step 2: Convert to fraction form
    16,381.51/24,569.12 = 5,285.52/x
  3. Step 3: Cross multiply
    16,381.51x = 24,569.12 × 5,285.52
  4. Step 4: Simplify right side
    16,381.51x = 129,860,588.36
  5. Step 5: Solve for x
    x = 129,860,588.36/16,381.51
  6. Step 6: Final answer
    x = 7,927.27

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