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Finding the Fourth Proportional to 12,681.86, 17,500.85 and 7,017.02

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Solution

The fourth proportional to 12,681.86, 17,500.85 and 7,017.02 is: 9,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.86 : 17,500.85 = 7,017.02 : x
  2. Step 2: Convert to fraction form
    12,681.86/17,500.85 = 7,017.02/x
  3. Step 3: Cross multiply
    12,681.86x = 17,500.85 × 7,017.02
  4. Step 4: Simplify right side
    12,681.86x = 122,803,814.47
  5. Step 5: Solve for x
    x = 122,803,814.47/12,681.86
  6. Step 6: Final answer
    x = 9,683.43

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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.