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Finding the Fourth Proportional to 21,708.96, 32,547.03 and 6,909.35

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Solution

The fourth proportional to 21,708.96, 32,547.03 and 6,909.35 is: 10,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.96 : 32,547.03 = 6,909.35 : x
  2. Step 2: Convert to fraction form
    21,708.96/32,547.03 = 6,909.35/x
  3. Step 3: Cross multiply
    21,708.96x = 32,547.03 × 6,909.35
  4. Step 4: Simplify right side
    21,708.96x = 224,878,855.03
  5. Step 5: Solve for x
    x = 224,878,855.03/21,708.96
  6. Step 6: Final answer
    x = 10,358.80

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