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Finding the Fourth Proportional to 12,752.84, 17,598.92 and 7,448.69

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Solution

The fourth proportional to 12,752.84, 17,598.92 and 7,448.69 is: 10,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.84 : 17,598.92 = 7,448.69 : x
  2. Step 2: Convert to fraction form
    12,752.84/17,598.92 = 7,448.69/x
  3. Step 3: Cross multiply
    12,752.84x = 17,598.92 × 7,448.69
  4. Step 4: Simplify right side
    12,752.84x = 131,088,774.18
  5. Step 5: Solve for x
    x = 131,088,774.18/12,752.84
  6. Step 6: Final answer
    x = 10,279.19

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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.