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Finding the Fourth Proportional to 14,867.31, 22,303.28 and 5,005.82

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Solution

The fourth proportional to 14,867.31, 22,303.28 and 5,005.82 is: 7,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,867.31 : 22,303.28 = 5,005.82 : x
  2. Step 2: Convert to fraction form
    14,867.31/22,303.28 = 5,005.82/x
  3. Step 3: Cross multiply
    14,867.31x = 22,303.28 × 5,005.82
  4. Step 4: Simplify right side
    14,867.31x = 111,646,068.54
  5. Step 5: Solve for x
    x = 111,646,068.54/14,867.31
  6. Step 6: Final answer
    x = 7,509.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.