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Finding the Fourth Proportional to 17,419.31, 24,038.53 and 9,461.47

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Solution

The fourth proportional to 17,419.31, 24,038.53 and 9,461.47 is: 13,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.31 : 24,038.53 = 9,461.47 : x
  2. Step 2: Convert to fraction form
    17,419.31/24,038.53 = 9,461.47/x
  3. Step 3: Cross multiply
    17,419.31x = 24,038.53 × 9,461.47
  4. Step 4: Simplify right side
    17,419.31x = 227,439,830.44
  5. Step 5: Solve for x
    x = 227,439,830.44/17,419.31
  6. Step 6: Final answer
    x = 13,056.76

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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.