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Finding the Fourth Proportional to 12,888.74, 19,330.03 and 9,419.61

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Solution

The fourth proportional to 12,888.74, 19,330.03 and 9,419.61 is: 14,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.74 : 19,330.03 = 9,419.61 : x
  2. Step 2: Convert to fraction form
    12,888.74/19,330.03 = 9,419.61/x
  3. Step 3: Cross multiply
    12,888.74x = 19,330.03 × 9,419.61
  4. Step 4: Simplify right side
    12,888.74x = 182,081,266.43
  5. Step 5: Solve for x
    x = 182,081,266.43/12,888.74
  6. Step 6: Final answer
    x = 14,127.16

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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.