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Finding the Fourth Proportional to 13,154.66, 19,638.28 and 12,693.32

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Solution

The fourth proportional to 13,154.66, 19,638.28 and 12,693.32 is: 18,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.66 : 19,638.28 = 12,693.32 : x
  2. Step 2: Convert to fraction form
    13,154.66/19,638.28 = 12,693.32/x
  3. Step 3: Cross multiply
    13,154.66x = 19,638.28 × 12,693.32
  4. Step 4: Simplify right side
    13,154.66x = 249,274,972.29
  5. Step 5: Solve for x
    x = 249,274,972.29/13,154.66
  6. Step 6: Final answer
    x = 18,949.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.