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Finding the Fourth Proportional to 12,765.60, 19,152 and 4,001.76

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Solution

The fourth proportional to 12,765.60, 19,152 and 4,001.76 is: 6,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.60 : 19,152 = 4,001.76 : x
  2. Step 2: Convert to fraction form
    12,765.60/19,152 = 4,001.76/x
  3. Step 3: Cross multiply
    12,765.60x = 19,152 × 4,001.76
  4. Step 4: Simplify right side
    12,765.60x = 76,641,707.52
  5. Step 5: Solve for x
    x = 76,641,707.52/12,765.60
  6. Step 6: Final answer
    x = 6,003.77

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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.