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Finding the Fourth Proportional to 12,423.06, 17,142.93 and 7,117.74

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Solution

The fourth proportional to 12,423.06, 17,142.93 and 7,117.74 is: 9,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.06 : 17,142.93 = 7,117.74 : x
  2. Step 2: Convert to fraction form
    12,423.06/17,142.93 = 7,117.74/x
  3. Step 3: Cross multiply
    12,423.06x = 17,142.93 × 7,117.74
  4. Step 4: Simplify right side
    12,423.06x = 122,018,918.58
  5. Step 5: Solve for x
    x = 122,018,918.58/12,423.06
  6. Step 6: Final answer
    x = 9,821.97

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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.