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Finding the Fourth Proportional to 12,497.65, 17,247.28 and 7,192.48

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Solution

The fourth proportional to 12,497.65, 17,247.28 and 7,192.48 is: 9,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.65 : 17,247.28 = 7,192.48 : x
  2. Step 2: Convert to fraction form
    12,497.65/17,247.28 = 7,192.48/x
  3. Step 3: Cross multiply
    12,497.65x = 17,247.28 × 7,192.48
  4. Step 4: Simplify right side
    12,497.65x = 124,050,716.45
  5. Step 5: Solve for x
    x = 124,050,716.45/12,497.65
  6. Step 6: Final answer
    x = 9,925.92

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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.