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Finding the Fourth Proportional to 12,765.42, 19,148.13 and 4,001.01

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Solution

The fourth proportional to 12,765.42, 19,148.13 and 4,001.01 is: 6,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.42 : 19,148.13 = 4,001.01 : x
  2. Step 2: Convert to fraction form
    12,765.42/19,148.13 = 4,001.01/x
  3. Step 3: Cross multiply
    12,765.42x = 19,148.13 × 4,001.01
  4. Step 4: Simplify right side
    12,765.42x = 76,611,859.61
  5. Step 5: Solve for x
    x = 76,611,859.61/12,765.42
  6. Step 6: Final answer
    x = 6,001.52

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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.