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Finding the Fourth Proportional to 23,513.54, 35,271.14 and 7,718.94

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Solution

The fourth proportional to 23,513.54, 35,271.14 and 7,718.94 is: 11,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.54 : 35,271.14 = 7,718.94 : x
  2. Step 2: Convert to fraction form
    23,513.54/35,271.14 = 7,718.94/x
  3. Step 3: Cross multiply
    23,513.54x = 35,271.14 × 7,718.94
  4. Step 4: Simplify right side
    23,513.54x = 272,255,774.80
  5. Step 5: Solve for x
    x = 272,255,774.80/23,513.54
  6. Step 6: Final answer
    x = 11,578.68

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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.