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Finding the Fourth Proportional to 16,301.80, 24,482.40 and 9,740.80

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Solution

The fourth proportional to 16,301.80, 24,482.40 and 9,740.80 is: 14,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.80 : 24,482.40 = 9,740.80 : x
  2. Step 2: Convert to fraction form
    16,301.80/24,482.40 = 9,740.80/x
  3. Step 3: Cross multiply
    16,301.80x = 24,482.40 × 9,740.80
  4. Step 4: Simplify right side
    16,301.80x = 238,478,161.92
  5. Step 5: Solve for x
    x = 238,478,161.92/16,301.80
  6. Step 6: Final answer
    x = 14,628.95

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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.