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Finding the Fourth Proportional to 21,530.18, 32,299.95 and 9,043.08

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Solution

The fourth proportional to 21,530.18, 32,299.95 and 9,043.08 is: 13,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.18 : 32,299.95 = 9,043.08 : x
  2. Step 2: Convert to fraction form
    21,530.18/32,299.95 = 9,043.08/x
  3. Step 3: Cross multiply
    21,530.18x = 32,299.95 × 9,043.08
  4. Step 4: Simplify right side
    21,530.18x = 292,091,031.85
  5. Step 5: Solve for x
    x = 292,091,031.85/21,530.18
  6. Step 6: Final answer
    x = 13,566.59

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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.