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Finding the Fourth Proportional to 22,784.36, 31,444.02 and 12,713.48

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Solution

The fourth proportional to 22,784.36, 31,444.02 and 12,713.48 is: 17,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.36 : 31,444.02 = 12,713.48 : x
  2. Step 2: Convert to fraction form
    22,784.36/31,444.02 = 12,713.48/x
  3. Step 3: Cross multiply
    22,784.36x = 31,444.02 × 12,713.48
  4. Step 4: Simplify right side
    22,784.36x = 399,762,919.39
  5. Step 5: Solve for x
    x = 399,762,919.39/22,784.36
  6. Step 6: Final answer
    x = 17,545.50

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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.