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Finding the Fourth Proportional to 18,071.42, 24,935.28 and 10,413.50

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Solution

The fourth proportional to 18,071.42, 24,935.28 and 10,413.50 is: 14,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.42 : 24,935.28 = 10,413.50 : x
  2. Step 2: Convert to fraction form
    18,071.42/24,935.28 = 10,413.50/x
  3. Step 3: Cross multiply
    18,071.42x = 24,935.28 × 10,413.50
  4. Step 4: Simplify right side
    18,071.42x = 259,663,538.28
  5. Step 5: Solve for x
    x = 259,663,538.28/18,071.42
  6. Step 6: Final answer
    x = 14,368.74

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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.