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Finding the Fourth Proportional to 12,712.06, 17,543.29 and 7,332.50

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Solution

The fourth proportional to 12,712.06, 17,543.29 and 7,332.50 is: 10,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.06 : 17,543.29 = 7,332.50 : x
  2. Step 2: Convert to fraction form
    12,712.06/17,543.29 = 7,332.50/x
  3. Step 3: Cross multiply
    12,712.06x = 17,543.29 × 7,332.50
  4. Step 4: Simplify right side
    12,712.06x = 128,636,173.93
  5. Step 5: Solve for x
    x = 128,636,173.93/12,712.06
  6. Step 6: Final answer
    x = 10,119.22

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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.