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Finding the Fourth Proportional to 12,700.71, 17,526.96 and 7,111.71

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Solution

The fourth proportional to 12,700.71, 17,526.96 and 7,111.71 is: 9,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.71 : 17,526.96 = 7,111.71 : x
  2. Step 2: Convert to fraction form
    12,700.71/17,526.96 = 7,111.71/x
  3. Step 3: Cross multiply
    12,700.71x = 17,526.96 × 7,111.71
  4. Step 4: Simplify right side
    12,700.71x = 124,646,656.70
  5. Step 5: Solve for x
    x = 124,646,656.70/12,700.71
  6. Step 6: Final answer
    x = 9,814.15

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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.