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Finding the Fourth Proportional to 34,585.84, 51,889.64 and 12,384.08

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Solution

The fourth proportional to 34,585.84, 51,889.64 and 12,384.08 is: 18,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,585.84 : 51,889.64 = 12,384.08 : x
  2. Step 2: Convert to fraction form
    34,585.84/51,889.64 = 12,384.08/x
  3. Step 3: Cross multiply
    34,585.84x = 51,889.64 × 12,384.08
  4. Step 4: Simplify right side
    34,585.84x = 642,605,452.93
  5. Step 5: Solve for x
    x = 642,605,452.93/34,585.84
  6. Step 6: Final answer
    x = 18,580.02

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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.