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Finding the Fourth Proportional to 15,630.84, 23,448.32 and 5,097.16

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Solution

The fourth proportional to 15,630.84, 23,448.32 and 5,097.16 is: 7,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,630.84 : 23,448.32 = 5,097.16 : x
  2. Step 2: Convert to fraction form
    15,630.84/23,448.32 = 5,097.16/x
  3. Step 3: Cross multiply
    15,630.84x = 23,448.32 × 5,097.16
  4. Step 4: Simplify right side
    15,630.84x = 119,519,861.71
  5. Step 5: Solve for x
    x = 119,519,861.71/15,630.84
  6. Step 6: Final answer
    x = 7,646.41

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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.