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Finding the Fourth Proportional to 22,646.89, 31,271.34 and 14,702.68

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Solution

The fourth proportional to 22,646.89, 31,271.34 and 14,702.68 is: 20,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.89 : 31,271.34 = 14,702.68 : x
  2. Step 2: Convert to fraction form
    22,646.89/31,271.34 = 14,702.68/x
  3. Step 3: Cross multiply
    22,646.89x = 31,271.34 × 14,702.68
  4. Step 4: Simplify right side
    22,646.89x = 459,772,505.19
  5. Step 5: Solve for x
    x = 459,772,505.19/22,646.89
  6. Step 6: Final answer
    x = 20,301.79

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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.