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Finding the Fourth Proportional to 13,266.47, 19,897.85 and 4,945.41

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Solution

The fourth proportional to 13,266.47, 19,897.85 and 4,945.41 is: 7,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.47 : 19,897.85 = 4,945.41 : x
  2. Step 2: Convert to fraction form
    13,266.47/19,897.85 = 4,945.41/x
  3. Step 3: Cross multiply
    13,266.47x = 19,897.85 × 4,945.41
  4. Step 4: Simplify right side
    13,266.47x = 98,403,038.73
  5. Step 5: Solve for x
    x = 98,403,038.73/13,266.47
  6. Step 6: Final answer
    x = 7,417.42

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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.