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Finding the Fourth Proportional to 12,706.47, 17,539.74 and 7,403.00

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Solution

The fourth proportional to 12,706.47, 17,539.74 and 7,403.00 is: 10,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.47 : 17,539.74 = 7,403.00 : x
  2. Step 2: Convert to fraction form
    12,706.47/17,539.74 = 7,403.00/x
  3. Step 3: Cross multiply
    12,706.47x = 17,539.74 × 7,403.00
  4. Step 4: Simplify right side
    12,706.47x = 129,846,607.52
  5. Step 5: Solve for x
    x = 129,846,607.52/12,706.47
  6. Step 6: Final answer
    x = 10,218.94

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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.