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Finding the Fourth Proportional to 14,048, 19,386.24 and 8,460.08

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Solution

The fourth proportional to 14,048, 19,386.24 and 8,460.08 is: 11,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048 : 19,386.24 = 8,460.08 : x
  2. Step 2: Convert to fraction form
    14,048/19,386.24 = 8,460.08/x
  3. Step 3: Cross multiply
    14,048x = 19,386.24 × 8,460.08
  4. Step 4: Simplify right side
    14,048x = 164,009,141.30
  5. Step 5: Solve for x
    x = 164,009,141.30/14,048
  6. Step 6: Final answer
    x = 11,674.91

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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.