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Finding the Fourth Proportional to 12,802.02, 19,205.65 and 7,257.84

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Solution

The fourth proportional to 12,802.02, 19,205.65 and 7,257.84 is: 10,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.02 : 19,205.65 = 7,257.84 : x
  2. Step 2: Convert to fraction form
    12,802.02/19,205.65 = 7,257.84/x
  3. Step 3: Cross multiply
    12,802.02x = 19,205.65 × 7,257.84
  4. Step 4: Simplify right side
    12,802.02x = 139,391,534.80
  5. Step 5: Solve for x
    x = 139,391,534.80/12,802.02
  6. Step 6: Final answer
    x = 10,888.25

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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.