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Finding the Fourth Proportional to 28,292.81, 42,443.82 and 9,574.01

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Solution

The fourth proportional to 28,292.81, 42,443.82 and 9,574.01 is: 14,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,292.81 : 42,443.82 = 9,574.01 : x
  2. Step 2: Convert to fraction form
    28,292.81/42,443.82 = 9,574.01/x
  3. Step 3: Cross multiply
    28,292.81x = 42,443.82 × 9,574.01
  4. Step 4: Simplify right side
    28,292.81x = 406,357,557.12
  5. Step 5: Solve for x
    x = 406,357,557.12/28,292.81
  6. Step 6: Final answer
    x = 14,362.57

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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.