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Finding the Fourth Proportional to 34,583.50, 51,875.25 and 12,398.23

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Solution

The fourth proportional to 34,583.50, 51,875.25 and 12,398.23 is: 18,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,583.50 : 51,875.25 = 12,398.23 : x
  2. Step 2: Convert to fraction form
    34,583.50/51,875.25 = 12,398.23/x
  3. Step 3: Cross multiply
    34,583.50x = 51,875.25 × 12,398.23
  4. Step 4: Simplify right side
    34,583.50x = 643,161,280.81
  5. Step 5: Solve for x
    x = 643,161,280.81/34,583.50
  6. Step 6: Final answer
    x = 18,597.35

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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.