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Finding the Fourth Proportional to 13,074.68, 18,030.76 and 10,085.78

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Solution

The fourth proportional to 13,074.68, 18,030.76 and 10,085.78 is: 13,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.68 : 18,030.76 = 10,085.78 : x
  2. Step 2: Convert to fraction form
    13,074.68/18,030.76 = 10,085.78/x
  3. Step 3: Cross multiply
    13,074.68x = 18,030.76 × 10,085.78
  4. Step 4: Simplify right side
    13,074.68x = 181,854,278.59
  5. Step 5: Solve for x
    x = 181,854,278.59/13,074.68
  6. Step 6: Final answer
    x = 13,908.89

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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.