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Finding the Fourth Proportional to 17,461, 24,096.16 and 9,503.20

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Solution

The fourth proportional to 17,461, 24,096.16 and 9,503.20 is: 13,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461 : 24,096.16 = 9,503.20 : x
  2. Step 2: Convert to fraction form
    17,461/24,096.16 = 9,503.20/x
  3. Step 3: Cross multiply
    17,461x = 24,096.16 × 9,503.20
  4. Step 4: Simplify right side
    17,461x = 228,990,627.71
  5. Step 5: Solve for x
    x = 228,990,627.71/17,461
  6. Step 6: Final answer
    x = 13,114.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.