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Finding the Fourth Proportional to 16,274.02, 24,430.43 and 9,703.30

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Solution

The fourth proportional to 16,274.02, 24,430.43 and 9,703.30 is: 14,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.02 : 24,430.43 = 9,703.30 : x
  2. Step 2: Convert to fraction form
    16,274.02/24,430.43 = 9,703.30/x
  3. Step 3: Cross multiply
    16,274.02x = 24,430.43 × 9,703.30
  4. Step 4: Simplify right side
    16,274.02x = 237,055,791.42
  5. Step 5: Solve for x
    x = 237,055,791.42/16,274.02
  6. Step 6: Final answer
    x = 14,566.52

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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.