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Finding the Fourth Proportional to 17,419.29, 24,038.87 and 9,461.49

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Solution

The fourth proportional to 17,419.29, 24,038.87 and 9,461.49 is: 13,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.29 : 24,038.87 = 9,461.49 : x
  2. Step 2: Convert to fraction form
    17,419.29/24,038.87 = 9,461.49/x
  3. Step 3: Cross multiply
    17,419.29x = 24,038.87 × 9,461.49
  4. Step 4: Simplify right side
    17,419.29x = 227,443,480.81
  5. Step 5: Solve for x
    x = 227,443,480.81/17,419.29
  6. Step 6: Final answer
    x = 13,056.99

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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.