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Finding the Fourth Proportional to 14,265.60, 21,388.80 and 6,470.40

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Solution

The fourth proportional to 14,265.60, 21,388.80 and 6,470.40 is: 9,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.60 : 21,388.80 = 6,470.40 : x
  2. Step 2: Convert to fraction form
    14,265.60/21,388.80 = 6,470.40/x
  3. Step 3: Cross multiply
    14,265.60x = 21,388.80 × 6,470.40
  4. Step 4: Simplify right side
    14,265.60x = 138,394,091.52
  5. Step 5: Solve for x
    x = 138,394,091.52/14,265.60
  6. Step 6: Final answer
    x = 9,701.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.