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Finding the Fourth Proportional to 15,205.83, 22,802.51 and 4,673.30

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Solution

The fourth proportional to 15,205.83, 22,802.51 and 4,673.30 is: 7,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.83 : 22,802.51 = 4,673.30 : x
  2. Step 2: Convert to fraction form
    15,205.83/22,802.51 = 4,673.30/x
  3. Step 3: Cross multiply
    15,205.83x = 22,802.51 × 4,673.30
  4. Step 4: Simplify right side
    15,205.83x = 106,562,867.65
  5. Step 5: Solve for x
    x = 106,562,867.65/15,205.83
  6. Step 6: Final answer
    x = 7,008.03

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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.