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Finding the Fourth Proportional to 19,556.56, 29,312.76 and 9,702.88

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Solution

The fourth proportional to 19,556.56, 29,312.76 and 9,702.88 is: 14,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,556.56 : 29,312.76 = 9,702.88 : x
  2. Step 2: Convert to fraction form
    19,556.56/29,312.76 = 9,702.88/x
  3. Step 3: Cross multiply
    19,556.56x = 29,312.76 × 9,702.88
  4. Step 4: Simplify right side
    19,556.56x = 284,418,192.75
  5. Step 5: Solve for x
    x = 284,418,192.75/19,556.56
  6. Step 6: Final answer
    x = 14,543.37

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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.