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Finding the Fourth Proportional to 21,703.34, 32,565.13 and 7,673.99

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Solution

The fourth proportional to 21,703.34, 32,565.13 and 7,673.99 is: 11,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.34 : 32,565.13 = 7,673.99 : x
  2. Step 2: Convert to fraction form
    21,703.34/32,565.13 = 7,673.99/x
  3. Step 3: Cross multiply
    21,703.34x = 32,565.13 × 7,673.99
  4. Step 4: Simplify right side
    21,703.34x = 249,904,319.14
  5. Step 5: Solve for x
    x = 249,904,319.14/21,703.34
  6. Step 6: Final answer
    x = 11,514.56

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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.