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Finding the Fourth Proportional to 15,854.94, 21,876.48 and 9,566.10

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Solution

The fourth proportional to 15,854.94, 21,876.48 and 9,566.10 is: 13,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.94 : 21,876.48 = 9,566.10 : x
  2. Step 2: Convert to fraction form
    15,854.94/21,876.48 = 9,566.10/x
  3. Step 3: Cross multiply
    15,854.94x = 21,876.48 × 9,566.10
  4. Step 4: Simplify right side
    15,854.94x = 209,272,595.33
  5. Step 5: Solve for x
    x = 209,272,595.33/15,854.94
  6. Step 6: Final answer
    x = 13,199.20

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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.