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Finding the Fourth Proportional to 15,193.61, 22,782.51 and 6,869.64

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Solution

The fourth proportional to 15,193.61, 22,782.51 and 6,869.64 is: 10,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.61 : 22,782.51 = 6,869.64 : x
  2. Step 2: Convert to fraction form
    15,193.61/22,782.51 = 6,869.64/x
  3. Step 3: Cross multiply
    15,193.61x = 22,782.51 × 6,869.64
  4. Step 4: Simplify right side
    15,193.61x = 156,507,642.00
  5. Step 5: Solve for x
    x = 156,507,642.00/15,193.61
  6. Step 6: Final answer
    x = 10,300.89

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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.