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Finding the Fourth Proportional to 12,806.10, 19,223.55 and 9,897.30

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Solution

The fourth proportional to 12,806.10, 19,223.55 and 9,897.30 is: 14,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.10 : 19,223.55 = 9,897.30 : x
  2. Step 2: Convert to fraction form
    12,806.10/19,223.55 = 9,897.30/x
  3. Step 3: Cross multiply
    12,806.10x = 19,223.55 × 9,897.30
  4. Step 4: Simplify right side
    12,806.10x = 190,261,241.42
  5. Step 5: Solve for x
    x = 190,261,241.42/12,806.10
  6. Step 6: Final answer
    x = 14,857.08

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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.