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Finding the Fourth Proportional to 12,657.58, 18,897.65 and 11,413.42

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Solution

The fourth proportional to 12,657.58, 18,897.65 and 11,413.42 is: 17,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.58 : 18,897.65 = 11,413.42 : x
  2. Step 2: Convert to fraction form
    12,657.58/18,897.65 = 11,413.42/x
  3. Step 3: Cross multiply
    12,657.58x = 18,897.65 × 11,413.42
  4. Step 4: Simplify right side
    12,657.58x = 215,686,816.46
  5. Step 5: Solve for x
    x = 215,686,816.46/12,657.58
  6. Step 6: Final answer
    x = 17,040.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.