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Finding the Fourth Proportional to 16,407.42, 22,641.75 and 9,334.86

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Solution

The fourth proportional to 16,407.42, 22,641.75 and 9,334.86 is: 12,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.42 : 22,641.75 = 9,334.86 : x
  2. Step 2: Convert to fraction form
    16,407.42/22,641.75 = 9,334.86/x
  3. Step 3: Cross multiply
    16,407.42x = 22,641.75 × 9,334.86
  4. Step 4: Simplify right side
    16,407.42x = 211,357,566.41
  5. Step 5: Solve for x
    x = 211,357,566.41/16,407.42
  6. Step 6: Final answer
    x = 12,881.83

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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.