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Finding the Fourth Proportional to 34,582.50, 51,873.75 and 12,397.23

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Solution

The fourth proportional to 34,582.50, 51,873.75 and 12,397.23 is: 18,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,582.50 : 51,873.75 = 12,397.23 : x
  2. Step 2: Convert to fraction form
    34,582.50/51,873.75 = 12,397.23/x
  3. Step 3: Cross multiply
    34,582.50x = 51,873.75 × 12,397.23
  4. Step 4: Simplify right side
    34,582.50x = 643,090,809.71
  5. Step 5: Solve for x
    x = 643,090,809.71/34,582.50
  6. Step 6: Final answer
    x = 18,595.85

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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.