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Finding the Fourth Proportional to 10,950.12, 16,405.74 and 9,482.40

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Solution

The fourth proportional to 10,950.12, 16,405.74 and 9,482.40 is: 14,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.12 : 16,405.74 = 9,482.40 : x
  2. Step 2: Convert to fraction form
    10,950.12/16,405.74 = 9,482.40/x
  3. Step 3: Cross multiply
    10,950.12x = 16,405.74 × 9,482.40
  4. Step 4: Simplify right side
    10,950.12x = 155,565,788.98
  5. Step 5: Solve for x
    x = 155,565,788.98/10,950.12
  6. Step 6: Final answer
    x = 14,206.77

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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.