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Finding the Fourth Proportional to 22,697.15, 31,312.17 and 14,184.45

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Solution

The fourth proportional to 22,697.15, 31,312.17 and 14,184.45 is: 19,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.15 : 31,312.17 = 14,184.45 : x
  2. Step 2: Convert to fraction form
    22,697.15/31,312.17 = 14,184.45/x
  3. Step 3: Cross multiply
    22,697.15x = 31,312.17 × 14,184.45
  4. Step 4: Simplify right side
    22,697.15x = 444,145,909.76
  5. Step 5: Solve for x
    x = 444,145,909.76/22,697.15
  6. Step 6: Final answer
    x = 19,568.36

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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.