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Finding the Fourth Proportional to 14,182.48, 19,571.64 and 7,808

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Solution

The fourth proportional to 14,182.48, 19,571.64 and 7,808 is: 10,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.48 : 19,571.64 = 7,808 : x
  2. Step 2: Convert to fraction form
    14,182.48/19,571.64 = 7,808/x
  3. Step 3: Cross multiply
    14,182.48x = 19,571.64 × 7,808
  4. Step 4: Simplify right side
    14,182.48x = 152,815,365.12
  5. Step 5: Solve for x
    x = 152,815,365.12/14,182.48
  6. Step 6: Final answer
    x = 10,774.94

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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.