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Finding the Fourth Proportional to 16,234.18, 22,402.41 and 9,064.93

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Solution

The fourth proportional to 16,234.18, 22,402.41 and 9,064.93 is: 12,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.18 : 22,402.41 = 9,064.93 : x
  2. Step 2: Convert to fraction form
    16,234.18/22,402.41 = 9,064.93/x
  3. Step 3: Cross multiply
    16,234.18x = 22,402.41 × 9,064.93
  4. Step 4: Simplify right side
    16,234.18x = 203,076,278.48
  5. Step 5: Solve for x
    x = 203,076,278.48/16,234.18
  6. Step 6: Final answer
    x = 12,509.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.