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Finding the Fourth Proportional to 15,678.12, 23,482.62 and 9,509.16

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Solution

The fourth proportional to 15,678.12, 23,482.62 and 9,509.16 is: 14,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.12 : 23,482.62 = 9,509.16 : x
  2. Step 2: Convert to fraction form
    15,678.12/23,482.62 = 9,509.16/x
  3. Step 3: Cross multiply
    15,678.12x = 23,482.62 × 9,509.16
  4. Step 4: Simplify right side
    15,678.12x = 223,299,990.80
  5. Step 5: Solve for x
    x = 223,299,990.80/15,678.12
  6. Step 6: Final answer
    x = 14,242.78

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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.