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Finding the Fourth Proportional to 24,300.16, 36,458.34 and 8,719

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Solution

The fourth proportional to 24,300.16, 36,458.34 and 8,719 is: 13,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300.16 : 36,458.34 = 8,719 : x
  2. Step 2: Convert to fraction form
    24,300.16/36,458.34 = 8,719/x
  3. Step 3: Cross multiply
    24,300.16x = 36,458.34 × 8,719
  4. Step 4: Simplify right side
    24,300.16x = 317,880,266.46
  5. Step 5: Solve for x
    x = 317,880,266.46/24,300.16
  6. Step 6: Final answer
    x = 13,081.41

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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.