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Finding the Fourth Proportional to 22,810.84, 31,478.65 and 12,739.46

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Solution

The fourth proportional to 22,810.84, 31,478.65 and 12,739.46 is: 17,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.84 : 31,478.65 = 12,739.46 : x
  2. Step 2: Convert to fraction form
    22,810.84/31,478.65 = 12,739.46/x
  3. Step 3: Cross multiply
    22,810.84x = 31,478.65 × 12,739.46
  4. Step 4: Simplify right side
    22,810.84x = 401,021,002.53
  5. Step 5: Solve for x
    x = 401,021,002.53/22,810.84
  6. Step 6: Final answer
    x = 17,580.28

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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.