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Finding the Fourth Proportional to 12,117.40, 18,177.01 and 6,275.07

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Solution

The fourth proportional to 12,117.40, 18,177.01 and 6,275.07 is: 9,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.40 : 18,177.01 = 6,275.07 : x
  2. Step 2: Convert to fraction form
    12,117.40/18,177.01 = 6,275.07/x
  3. Step 3: Cross multiply
    12,117.40x = 18,177.01 × 6,275.07
  4. Step 4: Simplify right side
    12,117.40x = 114,061,994.45
  5. Step 5: Solve for x
    x = 114,061,994.45/12,117.40
  6. Step 6: Final answer
    x = 9,413.08

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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.