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Finding the Fourth Proportional to 12,740.64, 19,107.12 and 4,947.60

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Solution

The fourth proportional to 12,740.64, 19,107.12 and 4,947.60 is: 7,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.64 : 19,107.12 = 4,947.60 : x
  2. Step 2: Convert to fraction form
    12,740.64/19,107.12 = 4,947.60/x
  3. Step 3: Cross multiply
    12,740.64x = 19,107.12 × 4,947.60
  4. Step 4: Simplify right side
    12,740.64x = 94,534,386.91
  5. Step 5: Solve for x
    x = 94,534,386.91/12,740.64
  6. Step 6: Final answer
    x = 7,419.91

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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.