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Finding the Fourth Proportional to 21,178.40, 29,223.05 and 12,678.53

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Solution

The fourth proportional to 21,178.40, 29,223.05 and 12,678.53 is: 17,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.40 : 29,223.05 = 12,678.53 : x
  2. Step 2: Convert to fraction form
    21,178.40/29,223.05 = 12,678.53/x
  3. Step 3: Cross multiply
    21,178.40x = 29,223.05 × 12,678.53
  4. Step 4: Simplify right side
    21,178.40x = 370,505,106.61
  5. Step 5: Solve for x
    x = 370,505,106.61/21,178.40
  6. Step 6: Final answer
    x = 17,494.48

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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.