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Finding the Fourth Proportional to 12,877.92, 19,307.52 and 7,316.28

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Solution

The fourth proportional to 12,877.92, 19,307.52 and 7,316.28 is: 10,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.92 : 19,307.52 = 7,316.28 : x
  2. Step 2: Convert to fraction form
    12,877.92/19,307.52 = 7,316.28/x
  3. Step 3: Cross multiply
    12,877.92x = 19,307.52 × 7,316.28
  4. Step 4: Simplify right side
    12,877.92x = 141,259,222.43
  5. Step 5: Solve for x
    x = 141,259,222.43/12,877.92
  6. Step 6: Final answer
    x = 10,969.10

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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.