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Finding the Fourth Proportional to 23,661.78, 32,652.06 and 15,718.50

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Solution

The fourth proportional to 23,661.78, 32,652.06 and 15,718.50 is: 21,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,661.78 : 32,652.06 = 15,718.50 : x
  2. Step 2: Convert to fraction form
    23,661.78/32,652.06 = 15,718.50/x
  3. Step 3: Cross multiply
    23,661.78x = 32,652.06 × 15,718.50
  4. Step 4: Simplify right side
    23,661.78x = 513,241,405.11
  5. Step 5: Solve for x
    x = 513,241,405.11/23,661.78
  6. Step 6: Final answer
    x = 21,690.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.