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Finding the Fourth Proportional to 12,897.24, 19,351.34 and 7,047.02

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Solution

The fourth proportional to 12,897.24, 19,351.34 and 7,047.02 is: 10,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.24 : 19,351.34 = 7,047.02 : x
  2. Step 2: Convert to fraction form
    12,897.24/19,351.34 = 7,047.02/x
  3. Step 3: Cross multiply
    12,897.24x = 19,351.34 × 7,047.02
  4. Step 4: Simplify right side
    12,897.24x = 136,369,148.02
  5. Step 5: Solve for x
    x = 136,369,148.02/12,897.24
  6. Step 6: Final answer
    x = 10,573.51

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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.