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Finding the Fourth Proportional to 16,133.88, 22,275.10 and 13,156.86

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Solution

The fourth proportional to 16,133.88, 22,275.10 and 13,156.86 is: 18,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.88 : 22,275.10 = 13,156.86 : x
  2. Step 2: Convert to fraction form
    16,133.88/22,275.10 = 13,156.86/x
  3. Step 3: Cross multiply
    16,133.88x = 22,275.10 × 13,156.86
  4. Step 4: Simplify right side
    16,133.88x = 293,070,372.19
  5. Step 5: Solve for x
    x = 293,070,372.19/16,133.88
  6. Step 6: Final answer
    x = 18,164.90

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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.