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Finding the Fourth Proportional to 17,460.13, 24,095.53 and 9,906.78

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Solution

The fourth proportional to 17,460.13, 24,095.53 and 9,906.78 is: 13,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460.13 : 24,095.53 = 9,906.78 : x
  2. Step 2: Convert to fraction form
    17,460.13/24,095.53 = 9,906.78/x
  3. Step 3: Cross multiply
    17,460.13x = 24,095.53 × 9,906.78
  4. Step 4: Simplify right side
    17,460.13x = 238,709,065.16
  5. Step 5: Solve for x
    x = 238,709,065.16/17,460.13
  6. Step 6: Final answer
    x = 13,671.67

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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.