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Finding the Fourth Proportional to 21,547.35, 32,308.83 and 8,384.58

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Solution

The fourth proportional to 21,547.35, 32,308.83 and 8,384.58 is: 12,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.35 : 32,308.83 = 8,384.58 : x
  2. Step 2: Convert to fraction form
    21,547.35/32,308.83 = 8,384.58/x
  3. Step 3: Cross multiply
    21,547.35x = 32,308.83 × 8,384.58
  4. Step 4: Simplify right side
    21,547.35x = 270,895,969.84
  5. Step 5: Solve for x
    x = 270,895,969.84/21,547.35
  6. Step 6: Final answer
    x = 12,572.12

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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.