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Finding the Fourth Proportional to 14,585.47, 21,864.04 and 11,616.67

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Solution

The fourth proportional to 14,585.47, 21,864.04 and 11,616.67 is: 17,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.47 : 21,864.04 = 11,616.67 : x
  2. Step 2: Convert to fraction form
    14,585.47/21,864.04 = 11,616.67/x
  3. Step 3: Cross multiply
    14,585.47x = 21,864.04 × 11,616.67
  4. Step 4: Simplify right side
    14,585.47x = 253,987,199.18
  5. Step 5: Solve for x
    x = 253,987,199.18/14,585.47
  6. Step 6: Final answer
    x = 17,413.72

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