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Finding the Fourth Proportional to 15,718.47, 23,570.41 and 9,146.54

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Solution

The fourth proportional to 15,718.47, 23,570.41 and 9,146.54 is: 13,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.47 : 23,570.41 = 9,146.54 : x
  2. Step 2: Convert to fraction form
    15,718.47/23,570.41 = 9,146.54/x
  3. Step 3: Cross multiply
    15,718.47x = 23,570.41 × 9,146.54
  4. Step 4: Simplify right side
    15,718.47x = 215,587,697.88
  5. Step 5: Solve for x
    x = 215,587,697.88/15,718.47
  6. Step 6: Final answer
    x = 13,715.57

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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.