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Finding the Fourth Proportional to 15,677.69, 21,645.35 and 9,715.69

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Solution

The fourth proportional to 15,677.69, 21,645.35 and 9,715.69 is: 13,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.69 : 21,645.35 = 9,715.69 : x
  2. Step 2: Convert to fraction form
    15,677.69/21,645.35 = 9,715.69/x
  3. Step 3: Cross multiply
    15,677.69x = 21,645.35 × 9,715.69
  4. Step 4: Simplify right side
    15,677.69x = 210,299,444.28
  5. Step 5: Solve for x
    x = 210,299,444.28/15,677.69
  6. Step 6: Final answer
    x = 13,413.93

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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.