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Finding the Fourth Proportional to 13,197.76, 19,785.12 and 4,984

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Solution

The fourth proportional to 13,197.76, 19,785.12 and 4,984 is: 7,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.76 : 19,785.12 = 4,984 : x
  2. Step 2: Convert to fraction form
    13,197.76/19,785.12 = 4,984/x
  3. Step 3: Cross multiply
    13,197.76x = 19,785.12 × 4,984
  4. Step 4: Simplify right side
    13,197.76x = 98,609,038.08
  5. Step 5: Solve for x
    x = 98,609,038.08/13,197.76
  6. Step 6: Final answer
    x = 7,471.65

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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.