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Finding the Fourth Proportional to 21,445.71, 32,175.18 and 9,609.45

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Solution

The fourth proportional to 21,445.71, 32,175.18 and 9,609.45 is: 14,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,445.71 : 32,175.18 = 9,609.45 : x
  2. Step 2: Convert to fraction form
    21,445.71/32,175.18 = 9,609.45/x
  3. Step 3: Cross multiply
    21,445.71x = 32,175.18 × 9,609.45
  4. Step 4: Simplify right side
    21,445.71x = 309,185,783.45
  5. Step 5: Solve for x
    x = 309,185,783.45/21,445.71
  6. Step 6: Final answer
    x = 14,417.14

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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.