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Finding the Fourth Proportional to 22,970.32, 31,702.49 and 14,023.02

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Solution

The fourth proportional to 22,970.32, 31,702.49 and 14,023.02 is: 19,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.32 : 31,702.49 = 14,023.02 : x
  2. Step 2: Convert to fraction form
    22,970.32/31,702.49 = 14,023.02/x
  3. Step 3: Cross multiply
    22,970.32x = 31,702.49 × 14,023.02
  4. Step 4: Simplify right side
    22,970.32x = 444,564,752.68
  5. Step 5: Solve for x
    x = 444,564,752.68/22,970.32
  6. Step 6: Final answer
    x = 19,353.88

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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.