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Finding the Fourth Proportional to 15,758.12, 23,643.18 and 5,901.80

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Solution

The fourth proportional to 15,758.12, 23,643.18 and 5,901.80 is: 8,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.12 : 23,643.18 = 5,901.80 : x
  2. Step 2: Convert to fraction form
    15,758.12/23,643.18 = 5,901.80/x
  3. Step 3: Cross multiply
    15,758.12x = 23,643.18 × 5,901.80
  4. Step 4: Simplify right side
    15,758.12x = 139,537,319.72
  5. Step 5: Solve for x
    x = 139,537,319.72/15,758.12
  6. Step 6: Final answer
    x = 8,854.95

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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.