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Finding the Fourth Proportional to 28,533.80, 42,797.46 and 11,002.16

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Solution

The fourth proportional to 28,533.80, 42,797.46 and 11,002.16 is: 16,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,533.80 : 42,797.46 = 11,002.16 : x
  2. Step 2: Convert to fraction form
    28,533.80/42,797.46 = 11,002.16/x
  3. Step 3: Cross multiply
    28,533.80x = 42,797.46 × 11,002.16
  4. Step 4: Simplify right side
    28,533.80x = 470,864,502.51
  5. Step 5: Solve for x
    x = 470,864,502.51/28,533.80
  6. Step 6: Final answer
    x = 16,501.99

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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.