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Finding the Fourth Proportional to 13,960.64, 19,265.76 and 7,587.28

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Solution

The fourth proportional to 13,960.64, 19,265.76 and 7,587.28 is: 10,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.64 : 19,265.76 = 7,587.28 : x
  2. Step 2: Convert to fraction form
    13,960.64/19,265.76 = 7,587.28/x
  3. Step 3: Cross multiply
    13,960.64x = 19,265.76 × 7,587.28
  4. Step 4: Simplify right side
    13,960.64x = 146,174,715.53
  5. Step 5: Solve for x
    x = 146,174,715.53/13,960.64
  6. Step 6: Final answer
    x = 10,470.49

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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.