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Finding the Fourth Proportional to 34,690.24, 52,025.90 and 9,728.74

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Solution

The fourth proportional to 34,690.24, 52,025.90 and 9,728.74 is: 14,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690.24 : 52,025.90 = 9,728.74 : x
  2. Step 2: Convert to fraction form
    34,690.24/52,025.90 = 9,728.74/x
  3. Step 3: Cross multiply
    34,690.24x = 52,025.90 × 9,728.74
  4. Step 4: Simplify right side
    34,690.24x = 506,146,194.24
  5. Step 5: Solve for x
    x = 506,146,194.24/34,690.24
  6. Step 6: Final answer
    x = 14,590.45

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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.