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Finding the Fourth Proportional to 13,298.00, 19,947.50 and 4,977.14

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Solution

The fourth proportional to 13,298.00, 19,947.50 and 4,977.14 is: 7,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.00 : 19,947.50 = 4,977.14 : x
  2. Step 2: Convert to fraction form
    13,298.00/19,947.50 = 4,977.14/x
  3. Step 3: Cross multiply
    13,298.00x = 19,947.50 × 4,977.14
  4. Step 4: Simplify right side
    13,298.00x = 99,281,394.19
  5. Step 5: Solve for x
    x = 99,281,394.19/13,298.00
  6. Step 6: Final answer
    x = 7,465.89

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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.