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Finding the Fourth Proportional to 12,808.47, 17,669.57 and 7,430.88

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Solution

The fourth proportional to 12,808.47, 17,669.57 and 7,430.88 is: 10,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.47 : 17,669.57 = 7,430.88 : x
  2. Step 2: Convert to fraction form
    12,808.47/17,669.57 = 7,430.88/x
  3. Step 3: Cross multiply
    12,808.47x = 17,669.57 × 7,430.88
  4. Step 4: Simplify right side
    12,808.47x = 131,300,417.17
  5. Step 5: Solve for x
    x = 131,300,417.17/12,808.47
  6. Step 6: Final answer
    x = 10,251.06

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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.