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Finding the Fourth Proportional to 23,302.40, 32,160.08 and 13,870.88

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Solution

The fourth proportional to 23,302.40, 32,160.08 and 13,870.88 is: 19,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.40 : 32,160.08 = 13,870.88 : x
  2. Step 2: Convert to fraction form
    23,302.40/32,160.08 = 13,870.88/x
  3. Step 3: Cross multiply
    23,302.40x = 32,160.08 × 13,870.88
  4. Step 4: Simplify right side
    23,302.40x = 446,088,610.47
  5. Step 5: Solve for x
    x = 446,088,610.47/23,302.40
  6. Step 6: Final answer
    x = 19,143.46

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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.