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Finding the Fourth Proportional to 14,376.84, 19,840.47 and 8,710.38

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Solution

The fourth proportional to 14,376.84, 19,840.47 and 8,710.38 is: 12,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.84 : 19,840.47 = 8,710.38 : x
  2. Step 2: Convert to fraction form
    14,376.84/19,840.47 = 8,710.38/x
  3. Step 3: Cross multiply
    14,376.84x = 19,840.47 × 8,710.38
  4. Step 4: Simplify right side
    14,376.84x = 172,818,033.08
  5. Step 5: Solve for x
    x = 172,818,033.08/14,376.84
  6. Step 6: Final answer
    x = 12,020.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.