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Finding the Fourth Proportional to 23,477.39, 32,398.61 and 12,866.99

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Solution

The fourth proportional to 23,477.39, 32,398.61 and 12,866.99 is: 17,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.39 : 32,398.61 = 12,866.99 : x
  2. Step 2: Convert to fraction form
    23,477.39/32,398.61 = 12,866.99/x
  3. Step 3: Cross multiply
    23,477.39x = 32,398.61 × 12,866.99
  4. Step 4: Simplify right side
    23,477.39x = 416,872,461.06
  5. Step 5: Solve for x
    x = 416,872,461.06/23,477.39
  6. Step 6: Final answer
    x = 17,756.34

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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.