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Finding the Fourth Proportional to 26,513.40, 36,587.76 and 14,413.50

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Solution

The fourth proportional to 26,513.40, 36,587.76 and 14,413.50 is: 19,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,513.40 : 36,587.76 = 14,413.50 : x
  2. Step 2: Convert to fraction form
    26,513.40/36,587.76 = 14,413.50/x
  3. Step 3: Cross multiply
    26,513.40x = 36,587.76 × 14,413.50
  4. Step 4: Simplify right side
    26,513.40x = 527,357,678.76
  5. Step 5: Solve for x
    x = 527,357,678.76/26,513.40
  6. Step 6: Final answer
    x = 19,890.23

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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.