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Finding the Fourth Proportional to 15,313.66, 23,013.84 and 9,074.86

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Solution

The fourth proportional to 15,313.66, 23,013.84 and 9,074.86 is: 13,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.66 : 23,013.84 = 9,074.86 : x
  2. Step 2: Convert to fraction form
    15,313.66/23,013.84 = 9,074.86/x
  3. Step 3: Cross multiply
    15,313.66x = 23,013.84 × 9,074.86
  4. Step 4: Simplify right side
    15,313.66x = 208,847,376.06
  5. Step 5: Solve for x
    x = 208,847,376.06/15,313.66
  6. Step 6: Final answer
    x = 13,637.98

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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.