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Finding the Fourth Proportional to 16,503.12, 22,775.51 and 9,429.39

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Solution

The fourth proportional to 16,503.12, 22,775.51 and 9,429.39 is: 13,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.12 : 22,775.51 = 9,429.39 : x
  2. Step 2: Convert to fraction form
    16,503.12/22,775.51 = 9,429.39/x
  3. Step 3: Cross multiply
    16,503.12x = 22,775.51 × 9,429.39
  4. Step 4: Simplify right side
    16,503.12x = 214,759,189.81
  5. Step 5: Solve for x
    x = 214,759,189.81/16,503.12
  6. Step 6: Final answer
    x = 13,013.25

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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.