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Finding the Fourth Proportional to 15,465.84, 23,200.80 and 5,074.08

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Solution

The fourth proportional to 15,465.84, 23,200.80 and 5,074.08 is: 7,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465.84 : 23,200.80 = 5,074.08 : x
  2. Step 2: Convert to fraction form
    15,465.84/23,200.80 = 5,074.08/x
  3. Step 3: Cross multiply
    15,465.84x = 23,200.80 × 5,074.08
  4. Step 4: Simplify right side
    15,465.84x = 117,722,715.26
  5. Step 5: Solve for x
    x = 117,722,715.26/15,465.84
  6. Step 6: Final answer
    x = 7,611.79

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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.