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Finding the Fourth Proportional to 21,707.24, 32,564.74 and 7,675.42

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Solution

The fourth proportional to 21,707.24, 32,564.74 and 7,675.42 is: 11,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.24 : 32,564.74 = 7,675.42 : x
  2. Step 2: Convert to fraction form
    21,707.24/32,564.74 = 7,675.42/x
  3. Step 3: Cross multiply
    21,707.24x = 32,564.74 × 7,675.42
  4. Step 4: Simplify right side
    21,707.24x = 249,948,001.01
  5. Step 5: Solve for x
    x = 249,948,001.01/21,707.24
  6. Step 6: Final answer
    x = 11,514.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.