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Finding the Fourth Proportional to 21,740.94, 32,613.98 and 7,698.04

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Solution

The fourth proportional to 21,740.94, 32,613.98 and 7,698.04 is: 11,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,740.94 : 32,613.98 = 7,698.04 : x
  2. Step 2: Convert to fraction form
    21,740.94/32,613.98 = 7,698.04/x
  3. Step 3: Cross multiply
    21,740.94x = 32,613.98 × 7,698.04
  4. Step 4: Simplify right side
    21,740.94x = 251,063,602.57
  5. Step 5: Solve for x
    x = 251,063,602.57/21,740.94
  6. Step 6: Final answer
    x = 11,547.96

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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.