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Finding the Fourth Proportional to 15,476.35, 23,223.74 and 5,616.40

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Solution

The fourth proportional to 15,476.35, 23,223.74 and 5,616.40 is: 8,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476.35 : 23,223.74 = 5,616.40 : x
  2. Step 2: Convert to fraction form
    15,476.35/23,223.74 = 5,616.40/x
  3. Step 3: Cross multiply
    15,476.35x = 23,223.74 × 5,616.40
  4. Step 4: Simplify right side
    15,476.35x = 130,433,813.34
  5. Step 5: Solve for x
    x = 130,433,813.34/15,476.35
  6. Step 6: Final answer
    x = 8,427.94

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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.