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Finding the Fourth Proportional to 12,703.59, 17,531.43 and 7,038.21

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Solution

The fourth proportional to 12,703.59, 17,531.43 and 7,038.21 is: 9,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.59 : 17,531.43 = 7,038.21 : x
  2. Step 2: Convert to fraction form
    12,703.59/17,531.43 = 7,038.21/x
  3. Step 3: Cross multiply
    12,703.59x = 17,531.43 × 7,038.21
  4. Step 4: Simplify right side
    12,703.59x = 123,389,885.94
  5. Step 5: Solve for x
    x = 123,389,885.94/12,703.59
  6. Step 6: Final answer
    x = 9,712.99

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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.