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Finding the Fourth Proportional to 13,294.90, 19,943.07 and 4,977.10

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Solution

The fourth proportional to 13,294.90, 19,943.07 and 4,977.10 is: 7,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.90 : 19,943.07 = 4,977.10 : x
  2. Step 2: Convert to fraction form
    13,294.90/19,943.07 = 4,977.10/x
  3. Step 3: Cross multiply
    13,294.90x = 19,943.07 × 4,977.10
  4. Step 4: Simplify right side
    13,294.90x = 99,258,653.70
  5. Step 5: Solve for x
    x = 99,258,653.70/13,294.90
  6. Step 6: Final answer
    x = 7,465.92

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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.