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Finding the Fourth Proportional to 14,822.65, 22,235.53 and 4,828.17

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Solution

The fourth proportional to 14,822.65, 22,235.53 and 4,828.17 is: 7,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.65 : 22,235.53 = 4,828.17 : x
  2. Step 2: Convert to fraction form
    14,822.65/22,235.53 = 4,828.17/x
  3. Step 3: Cross multiply
    14,822.65x = 22,235.53 × 4,828.17
  4. Step 4: Simplify right side
    14,822.65x = 107,356,967.98
  5. Step 5: Solve for x
    x = 107,356,967.98/14,822.65
  6. Step 6: Final answer
    x = 7,242.77

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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.