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Finding the Fourth Proportional to 22,931.34, 31,633.61 and 14,978.22

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Solution

The fourth proportional to 22,931.34, 31,633.61 and 14,978.22 is: 20,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.34 : 31,633.61 = 14,978.22 : x
  2. Step 2: Convert to fraction form
    22,931.34/31,633.61 = 14,978.22/x
  3. Step 3: Cross multiply
    22,931.34x = 31,633.61 × 14,978.22
  4. Step 4: Simplify right side
    22,931.34x = 473,815,095.08
  5. Step 5: Solve for x
    x = 473,815,095.08/22,931.34
  6. Step 6: Final answer
    x = 20,662.34

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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.