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Finding the Fourth Proportional to 15,552, 23,328 and 9,705.60

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Solution

The fourth proportional to 15,552, 23,328 and 9,705.60 is: 14,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,552 : 23,328 = 9,705.60 : x
  2. Step 2: Convert to fraction form
    15,552/23,328 = 9,705.60/x
  3. Step 3: Cross multiply
    15,552x = 23,328 × 9,705.60
  4. Step 4: Simplify right side
    15,552x = 226,412,236.80
  5. Step 5: Solve for x
    x = 226,412,236.80/15,552
  6. Step 6: Final answer
    x = 14,558.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.