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Finding the Fourth Proportional to 23,654.40, 32,646.96 and 14,228.16

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Solution

The fourth proportional to 23,654.40, 32,646.96 and 14,228.16 is: 19,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.40 : 32,646.96 = 14,228.16 : x
  2. Step 2: Convert to fraction form
    23,654.40/32,646.96 = 14,228.16/x
  3. Step 3: Cross multiply
    23,654.40x = 32,646.96 × 14,228.16
  4. Step 4: Simplify right side
    23,654.40x = 464,506,170.39
  5. Step 5: Solve for x
    x = 464,506,170.39/23,654.40
  6. Step 6: Final answer
    x = 19,637.20

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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.