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Finding the Fourth Proportional to 13,001.76, 19,486.04 and 7,458.12

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Solution

The fourth proportional to 13,001.76, 19,486.04 and 7,458.12 is: 11,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.76 : 19,486.04 = 7,458.12 : x
  2. Step 2: Convert to fraction form
    13,001.76/19,486.04 = 7,458.12/x
  3. Step 3: Cross multiply
    13,001.76x = 19,486.04 × 7,458.12
  4. Step 4: Simplify right side
    13,001.76x = 145,329,224.64
  5. Step 5: Solve for x
    x = 145,329,224.64/13,001.76
  6. Step 6: Final answer
    x = 11,177.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.