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Finding the Fourth Proportional to 16,870.77, 23,281.79 and 9,316.89

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Solution

The fourth proportional to 16,870.77, 23,281.79 and 9,316.89 is: 12,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.77 : 23,281.79 = 9,316.89 : x
  2. Step 2: Convert to fraction form
    16,870.77/23,281.79 = 9,316.89/x
  3. Step 3: Cross multiply
    16,870.77x = 23,281.79 × 9,316.89
  4. Step 4: Simplify right side
    16,870.77x = 216,913,829.85
  5. Step 5: Solve for x
    x = 216,913,829.85/16,870.77
  6. Step 6: Final answer
    x = 12,857.38

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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.