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Finding the Fourth Proportional to 28,283.50, 39,031.23 and 15,709.42

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Solution

The fourth proportional to 28,283.50, 39,031.23 and 15,709.42 is: 21,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,283.50 : 39,031.23 = 15,709.42 : x
  2. Step 2: Convert to fraction form
    28,283.50/39,031.23 = 15,709.42/x
  3. Step 3: Cross multiply
    28,283.50x = 39,031.23 × 15,709.42
  4. Step 4: Simplify right side
    28,283.50x = 613,157,985.19
  5. Step 5: Solve for x
    x = 613,157,985.19/28,283.50
  6. Step 6: Final answer
    x = 21,679.00

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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.