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Finding the Fourth Proportional to 18,307.61, 27,437.42 and 10,413.76

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Solution

The fourth proportional to 18,307.61, 27,437.42 and 10,413.76 is: 15,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,307.61 : 27,437.42 = 10,413.76 : x
  2. Step 2: Convert to fraction form
    18,307.61/27,437.42 = 10,413.76/x
  3. Step 3: Cross multiply
    18,307.61x = 27,437.42 × 10,413.76
  4. Step 4: Simplify right side
    18,307.61x = 285,726,580.04
  5. Step 5: Solve for x
    x = 285,726,580.04/18,307.61
  6. Step 6: Final answer
    x = 15,606.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.