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Finding the Fourth Proportional to 28,509.30, 42,765.02 and 9,802.25

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Solution

The fourth proportional to 28,509.30, 42,765.02 and 9,802.25 is: 14,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.30 : 42,765.02 = 9,802.25 : x
  2. Step 2: Convert to fraction form
    28,509.30/42,765.02 = 9,802.25/x
  3. Step 3: Cross multiply
    28,509.30x = 42,765.02 × 9,802.25
  4. Step 4: Simplify right side
    28,509.30x = 419,193,154.46
  5. Step 5: Solve for x
    x = 419,193,154.46/28,509.30
  6. Step 6: Final answer
    x = 14,703.73

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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.