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Finding the Fourth Proportional to 15,193.61, 22,797.44 and 5,830.51

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Solution

The fourth proportional to 15,193.61, 22,797.44 and 5,830.51 is: 8,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.61 : 22,797.44 = 5,830.51 : x
  2. Step 2: Convert to fraction form
    15,193.61/22,797.44 = 5,830.51/x
  3. Step 3: Cross multiply
    15,193.61x = 22,797.44 × 5,830.51
  4. Step 4: Simplify right side
    15,193.61x = 132,920,701.89
  5. Step 5: Solve for x
    x = 132,920,701.89/15,193.61
  6. Step 6: Final answer
    x = 8,748.46

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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.