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Finding the Fourth Proportional to 13,105.06, 19,654.17 and 6,526.42

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Solution

The fourth proportional to 13,105.06, 19,654.17 and 6,526.42 is: 9,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.06 : 19,654.17 = 6,526.42 : x
  2. Step 2: Convert to fraction form
    13,105.06/19,654.17 = 6,526.42/x
  3. Step 3: Cross multiply
    13,105.06x = 19,654.17 × 6,526.42
  4. Step 4: Simplify right side
    13,105.06x = 128,271,368.17
  5. Step 5: Solve for x
    x = 128,271,368.17/13,105.06
  6. Step 6: Final answer
    x = 9,787.93

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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.