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Finding the Fourth Proportional to 16,402.60, 22,633.02 and 9,327.66

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Solution

The fourth proportional to 16,402.60, 22,633.02 and 9,327.66 is: 12,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.60 : 22,633.02 = 9,327.66 : x
  2. Step 2: Convert to fraction form
    16,402.60/22,633.02 = 9,327.66/x
  3. Step 3: Cross multiply
    16,402.60x = 22,633.02 × 9,327.66
  4. Step 4: Simplify right side
    16,402.60x = 211,113,030.46
  5. Step 5: Solve for x
    x = 211,113,030.46/16,402.60
  6. Step 6: Final answer
    x = 12,870.70

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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.