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Finding the Fourth Proportional to 19,647.40, 29,460 and 17,312.68

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Solution

The fourth proportional to 19,647.40, 29,460 and 17,312.68 is: 25,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.40 : 29,460 = 17,312.68 : x
  2. Step 2: Convert to fraction form
    19,647.40/29,460 = 17,312.68/x
  3. Step 3: Cross multiply
    19,647.40x = 29,460 × 17,312.68
  4. Step 4: Simplify right side
    19,647.40x = 510,031,552.80
  5. Step 5: Solve for x
    x = 510,031,552.80/19,647.40
  6. Step 6: Final answer
    x = 25,959.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.