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Finding the Fourth Proportional to 13,219.52, 19,829.76 and 4,901.68

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Solution

The fourth proportional to 13,219.52, 19,829.76 and 4,901.68 is: 7,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.52 : 19,829.76 = 4,901.68 : x
  2. Step 2: Convert to fraction form
    13,219.52/19,829.76 = 4,901.68/x
  3. Step 3: Cross multiply
    13,219.52x = 19,829.76 × 4,901.68
  4. Step 4: Simplify right side
    13,219.52x = 97,199,138.00
  5. Step 5: Solve for x
    x = 97,199,138.00/13,219.52
  6. Step 6: Final answer
    x = 7,352.70

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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.