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Finding the Fourth Proportional to 23,021.40, 34,507.80 and 13,139.40

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Solution

The fourth proportional to 23,021.40, 34,507.80 and 13,139.40 is: 19,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.40 : 34,507.80 = 13,139.40 : x
  2. Step 2: Convert to fraction form
    23,021.40/34,507.80 = 13,139.40/x
  3. Step 3: Cross multiply
    23,021.40x = 34,507.80 × 13,139.40
  4. Step 4: Simplify right side
    23,021.40x = 453,411,787.32
  5. Step 5: Solve for x
    x = 453,411,787.32/23,021.40
  6. Step 6: Final answer
    x = 19,695.23

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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.