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Finding the Fourth Proportional to 12,681.74, 17,498.76 and 7,972.40

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Solution

The fourth proportional to 12,681.74, 17,498.76 and 7,972.40 is: 11,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.74 : 17,498.76 = 7,972.40 : x
  2. Step 2: Convert to fraction form
    12,681.74/17,498.76 = 7,972.40/x
  3. Step 3: Cross multiply
    12,681.74x = 17,498.76 × 7,972.40
  4. Step 4: Simplify right side
    12,681.74x = 139,507,114.22
  5. Step 5: Solve for x
    x = 139,507,114.22/12,681.74
  6. Step 6: Final answer
    x = 11,000.63

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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.