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Finding the Fourth Proportional to 15,873.42, 23,825.63 and 7,559.18

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Solution

The fourth proportional to 15,873.42, 23,825.63 and 7,559.18 is: 11,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.42 : 23,825.63 = 7,559.18 : x
  2. Step 2: Convert to fraction form
    15,873.42/23,825.63 = 7,559.18/x
  3. Step 3: Cross multiply
    15,873.42x = 23,825.63 × 7,559.18
  4. Step 4: Simplify right side
    15,873.42x = 180,102,225.78
  5. Step 5: Solve for x
    x = 180,102,225.78/15,873.42
  6. Step 6: Final answer
    x = 11,346.15

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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.