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Finding the Fourth Proportional to 16,314.22, 22,518.06 and 9,602

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Solution

The fourth proportional to 16,314.22, 22,518.06 and 9,602 is: 13,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.22 : 22,518.06 = 9,602 : x
  2. Step 2: Convert to fraction form
    16,314.22/22,518.06 = 9,602/x
  3. Step 3: Cross multiply
    16,314.22x = 22,518.06 × 9,602
  4. Step 4: Simplify right side
    16,314.22x = 216,218,412.12
  5. Step 5: Solve for x
    x = 216,218,412.12/16,314.22
  6. Step 6: Final answer
    x = 13,253.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.