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Finding the Fourth Proportional to 22,829.13, 31,502.13 and 12,756.15

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Solution

The fourth proportional to 22,829.13, 31,502.13 and 12,756.15 is: 17,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.13 : 31,502.13 = 12,756.15 : x
  2. Step 2: Convert to fraction form
    22,829.13/31,502.13 = 12,756.15/x
  3. Step 3: Cross multiply
    22,829.13x = 31,502.13 × 12,756.15
  4. Step 4: Simplify right side
    22,829.13x = 401,845,895.60
  5. Step 5: Solve for x
    x = 401,845,895.60/22,829.13
  6. Step 6: Final answer
    x = 17,602.33

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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.