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Finding the Fourth Proportional to 12,536.96, 17,302.53 and 7,501.13

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Solution

The fourth proportional to 12,536.96, 17,302.53 and 7,501.13 is: 10,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.96 : 17,302.53 = 7,501.13 : x
  2. Step 2: Convert to fraction form
    12,536.96/17,302.53 = 7,501.13/x
  3. Step 3: Cross multiply
    12,536.96x = 17,302.53 × 7,501.13
  4. Step 4: Simplify right side
    12,536.96x = 129,788,526.86
  5. Step 5: Solve for x
    x = 129,788,526.86/12,536.96
  6. Step 6: Final answer
    x = 10,352.47

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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.