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Finding the Fourth Proportional to 21,702.34, 32,556.12 and 7,659.47

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Solution

The fourth proportional to 21,702.34, 32,556.12 and 7,659.47 is: 11,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.34 : 32,556.12 = 7,659.47 : x
  2. Step 2: Convert to fraction form
    21,702.34/32,556.12 = 7,659.47/x
  3. Step 3: Cross multiply
    21,702.34x = 32,556.12 × 7,659.47
  4. Step 4: Simplify right side
    21,702.34x = 249,362,624.46
  5. Step 5: Solve for x
    x = 249,362,624.46/21,702.34
  6. Step 6: Final answer
    x = 11,490.13

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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.