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Finding the Fourth Proportional to 10,303.54, 15,477.17 and 9,703.66

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Solution

The fourth proportional to 10,303.54, 15,477.17 and 9,703.66 is: 14,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.54 : 15,477.17 = 9,703.66 : x
  2. Step 2: Convert to fraction form
    10,303.54/15,477.17 = 9,703.66/x
  3. Step 3: Cross multiply
    10,303.54x = 15,477.17 × 9,703.66
  4. Step 4: Simplify right side
    10,303.54x = 150,185,146.92
  5. Step 5: Solve for x
    x = 150,185,146.92/10,303.54
  6. Step 6: Final answer
    x = 14,576.07

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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.