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Finding the Fourth Proportional to 13,045.18, 19,568.76 and 6,464.74

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Solution

The fourth proportional to 13,045.18, 19,568.76 and 6,464.74 is: 9,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.18 : 19,568.76 = 6,464.74 : x
  2. Step 2: Convert to fraction form
    13,045.18/19,568.76 = 6,464.74/x
  3. Step 3: Cross multiply
    13,045.18x = 19,568.76 × 6,464.74
  4. Step 4: Simplify right side
    13,045.18x = 126,506,945.52
  5. Step 5: Solve for x
    x = 126,506,945.52/13,045.18
  6. Step 6: Final answer
    x = 9,697.60

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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.