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Finding the Fourth Proportional to 23,098.50, 31,875.93 and 13,162.50

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Solution

The fourth proportional to 23,098.50, 31,875.93 and 13,162.50 is: 18,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.50 : 31,875.93 = 13,162.50 : x
  2. Step 2: Convert to fraction form
    23,098.50/31,875.93 = 13,162.50/x
  3. Step 3: Cross multiply
    23,098.50x = 31,875.93 × 13,162.50
  4. Step 4: Simplify right side
    23,098.50x = 419,566,928.63
  5. Step 5: Solve for x
    x = 419,566,928.63/23,098.50
  6. Step 6: Final answer
    x = 18,164.25

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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.