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Finding the Fourth Proportional to 22,816, 34,140.74 and 13,460.50

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Solution

The fourth proportional to 22,816, 34,140.74 and 13,460.50 is: 20,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816 : 34,140.74 = 13,460.50 : x
  2. Step 2: Convert to fraction form
    22,816/34,140.74 = 13,460.50/x
  3. Step 3: Cross multiply
    22,816x = 34,140.74 × 13,460.50
  4. Step 4: Simplify right side
    22,816x = 459,551,430.77
  5. Step 5: Solve for x
    x = 459,551,430.77/22,816
  6. Step 6: Final answer
    x = 20,141.63

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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.