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Finding the Fourth Proportional to 22,782.35, 31,441.04 and 12,710.81

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Solution

The fourth proportional to 22,782.35, 31,441.04 and 12,710.81 is: 17,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.35 : 31,441.04 = 12,710.81 : x
  2. Step 2: Convert to fraction form
    22,782.35/31,441.04 = 12,710.81/x
  3. Step 3: Cross multiply
    22,782.35x = 31,441.04 × 12,710.81
  4. Step 4: Simplify right side
    22,782.35x = 399,641,196.02
  5. Step 5: Solve for x
    x = 399,641,196.02/22,782.35
  6. Step 6: Final answer
    x = 17,541.70

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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.