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Finding the Fourth Proportional to 13,502.40, 18,695.52 and 12,465.60

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Solution

The fourth proportional to 13,502.40, 18,695.52 and 12,465.60 is: 17,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.40 : 18,695.52 = 12,465.60 : x
  2. Step 2: Convert to fraction form
    13,502.40/18,695.52 = 12,465.60/x
  3. Step 3: Cross multiply
    13,502.40x = 18,695.52 × 12,465.60
  4. Step 4: Simplify right side
    13,502.40x = 233,050,874.11
  5. Step 5: Solve for x
    x = 233,050,874.11/13,502.40
  6. Step 6: Final answer
    x = 17,259.96

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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.