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Finding the Fourth Proportional to 29,354.24, 40,501.50 and 17,417

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Solution

The fourth proportional to 29,354.24, 40,501.50 and 17,417 is: 24,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354.24 : 40,501.50 = 17,417 : x
  2. Step 2: Convert to fraction form
    29,354.24/40,501.50 = 17,417/x
  3. Step 3: Cross multiply
    29,354.24x = 40,501.50 × 17,417
  4. Step 4: Simplify right side
    29,354.24x = 705,414,625.50
  5. Step 5: Solve for x
    x = 705,414,625.50/29,354.24
  6. Step 6: Final answer
    x = 24,031.10

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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.