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Finding the Fourth Proportional to 15,574.10, 23,364.87 and 5,185.94

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Solution

The fourth proportional to 15,574.10, 23,364.87 and 5,185.94 is: 7,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.10 : 23,364.87 = 5,185.94 : x
  2. Step 2: Convert to fraction form
    15,574.10/23,364.87 = 5,185.94/x
  3. Step 3: Cross multiply
    15,574.10x = 23,364.87 × 5,185.94
  4. Step 4: Simplify right side
    15,574.10x = 121,168,813.93
  5. Step 5: Solve for x
    x = 121,168,813.93/15,574.10
  6. Step 6: Final answer
    x = 7,780.15

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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.