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Finding the Fourth Proportional to 12,875.20, 17,772 and 7,569.76

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Solution

The fourth proportional to 12,875.20, 17,772 and 7,569.76 is: 10,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.20 : 17,772 = 7,569.76 : x
  2. Step 2: Convert to fraction form
    12,875.20/17,772 = 7,569.76/x
  3. Step 3: Cross multiply
    12,875.20x = 17,772 × 7,569.76
  4. Step 4: Simplify right side
    12,875.20x = 134,529,774.72
  5. Step 5: Solve for x
    x = 134,529,774.72/12,875.20
  6. Step 6: Final answer
    x = 10,448.75

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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.