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Finding the Fourth Proportional to 13,211.76, 19,811.88 and 4,998

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Solution

The fourth proportional to 13,211.76, 19,811.88 and 4,998 is: 7,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.76 : 19,811.88 = 4,998 : x
  2. Step 2: Convert to fraction form
    13,211.76/19,811.88 = 4,998/x
  3. Step 3: Cross multiply
    13,211.76x = 19,811.88 × 4,998
  4. Step 4: Simplify right side
    13,211.76x = 99,019,776.24
  5. Step 5: Solve for x
    x = 99,019,776.24/13,211.76
  6. Step 6: Final answer
    x = 7,494.82

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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.