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Finding the Fourth Proportional to 23,095.80, 31,875.12 and 13,024.80

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Solution

The fourth proportional to 23,095.80, 31,875.12 and 13,024.80 is: 17,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.80 : 31,875.12 = 13,024.80 : x
  2. Step 2: Convert to fraction form
    23,095.80/31,875.12 = 13,024.80/x
  3. Step 3: Cross multiply
    23,095.80x = 31,875.12 × 13,024.80
  4. Step 4: Simplify right side
    23,095.80x = 415,167,062.98
  5. Step 5: Solve for x
    x = 415,167,062.98/23,095.80
  6. Step 6: Final answer
    x = 17,975.87

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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.