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Finding the Fourth Proportional to 13,428.12, 20,124.66 and 6,848.76

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Solution

The fourth proportional to 13,428.12, 20,124.66 and 6,848.76 is: 10,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.12 : 20,124.66 = 6,848.76 : x
  2. Step 2: Convert to fraction form
    13,428.12/20,124.66 = 6,848.76/x
  3. Step 3: Cross multiply
    13,428.12x = 20,124.66 × 6,848.76
  4. Step 4: Simplify right side
    13,428.12x = 137,828,966.42
  5. Step 5: Solve for x
    x = 137,828,966.42/13,428.12
  6. Step 6: Final answer
    x = 10,264.20

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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.