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Finding the Fourth Proportional to 10,017.96, 13,810.12 and 7,024.76

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Solution

The fourth proportional to 10,017.96, 13,810.12 and 7,024.76 is: 9,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.96 : 13,810.12 = 7,024.76 : x
  2. Step 2: Convert to fraction form
    10,017.96/13,810.12 = 7,024.76/x
  3. Step 3: Cross multiply
    10,017.96x = 13,810.12 × 7,024.76
  4. Step 4: Simplify right side
    10,017.96x = 97,012,778.57
  5. Step 5: Solve for x
    x = 97,012,778.57/10,017.96
  6. Step 6: Final answer
    x = 9,683.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.