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Finding the Fourth Proportional to 16,023.66, 24,038.27 and 7,142.15

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Solution

The fourth proportional to 16,023.66, 24,038.27 and 7,142.15 is: 10,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.66 : 24,038.27 = 7,142.15 : x
  2. Step 2: Convert to fraction form
    16,023.66/24,038.27 = 7,142.15/x
  3. Step 3: Cross multiply
    16,023.66x = 24,038.27 × 7,142.15
  4. Step 4: Simplify right side
    16,023.66x = 171,684,774.18
  5. Step 5: Solve for x
    x = 171,684,774.18/16,023.66
  6. Step 6: Final answer
    x = 10,714.45

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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.