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Finding the Fourth Proportional to 23,510.86, 32,443.74 and 13,437.97

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Solution

The fourth proportional to 23,510.86, 32,443.74 and 13,437.97 is: 18,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,510.86 : 32,443.74 = 13,437.97 : x
  2. Step 2: Convert to fraction form
    23,510.86/32,443.74 = 13,437.97/x
  3. Step 3: Cross multiply
    23,510.86x = 32,443.74 × 13,437.97
  4. Step 4: Simplify right side
    23,510.86x = 435,978,004.81
  5. Step 5: Solve for x
    x = 435,978,004.81/23,510.86
  6. Step 6: Final answer
    x = 18,543.69

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