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Finding the Fourth Proportional to 27,007.36, 40,510.98 and 9,482.20

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Solution

The fourth proportional to 27,007.36, 40,510.98 and 9,482.20 is: 14,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.36 : 40,510.98 = 9,482.20 : x
  2. Step 2: Convert to fraction form
    27,007.36/40,510.98 = 9,482.20/x
  3. Step 3: Cross multiply
    27,007.36x = 40,510.98 × 9,482.20
  4. Step 4: Simplify right side
    27,007.36x = 384,133,214.56
  5. Step 5: Solve for x
    x = 384,133,214.56/27,007.36
  6. Step 6: Final answer
    x = 14,223.28

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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.