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Finding the Fourth Proportional to 14,148.70, 21,223.05 and 13,342.30

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Solution

The fourth proportional to 14,148.70, 21,223.05 and 13,342.30 is: 20,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.70 : 21,223.05 = 13,342.30 : x
  2. Step 2: Convert to fraction form
    14,148.70/21,223.05 = 13,342.30/x
  3. Step 3: Cross multiply
    14,148.70x = 21,223.05 × 13,342.30
  4. Step 4: Simplify right side
    14,148.70x = 283,164,300.02
  5. Step 5: Solve for x
    x = 283,164,300.02/14,148.70
  6. Step 6: Final answer
    x = 20,013.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.