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Finding the Fourth Proportional to 15,416.16, 23,120.04 and 4,322.16

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Solution

The fourth proportional to 15,416.16, 23,120.04 and 4,322.16 is: 6,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.16 : 23,120.04 = 4,322.16 : x
  2. Step 2: Convert to fraction form
    15,416.16/23,120.04 = 4,322.16/x
  3. Step 3: Cross multiply
    15,416.16x = 23,120.04 × 4,322.16
  4. Step 4: Simplify right side
    15,416.16x = 99,928,512.09
  5. Step 5: Solve for x
    x = 99,928,512.09/15,416.16
  6. Step 6: Final answer
    x = 6,482.06

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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.