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Finding the Fourth Proportional to 22,475.95, 31,016.39 and 12,403.80

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Solution

The fourth proportional to 22,475.95, 31,016.39 and 12,403.80 is: 17,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475.95 : 31,016.39 = 12,403.80 : x
  2. Step 2: Convert to fraction form
    22,475.95/31,016.39 = 12,403.80/x
  3. Step 3: Cross multiply
    22,475.95x = 31,016.39 × 12,403.80
  4. Step 4: Simplify right side
    22,475.95x = 384,721,036.26
  5. Step 5: Solve for x
    x = 384,721,036.26/22,475.95
  6. Step 6: Final answer
    x = 17,117.01

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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.