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Finding the Fourth Proportional to 10,017.84, 15,009.50 and 6,638.56

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Solution

The fourth proportional to 10,017.84, 15,009.50 and 6,638.56 is: 9,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.84 : 15,009.50 = 6,638.56 : x
  2. Step 2: Convert to fraction form
    10,017.84/15,009.50 = 6,638.56/x
  3. Step 3: Cross multiply
    10,017.84x = 15,009.50 × 6,638.56
  4. Step 4: Simplify right side
    10,017.84x = 99,641,445.39
  5. Step 5: Solve for x
    x = 99,641,445.39/10,017.84
  6. Step 6: Final answer
    x = 9,946.40

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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.