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Finding the Fourth Proportional to 14,733.71, 22,091.04 and 6,305.72

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Solution

The fourth proportional to 14,733.71, 22,091.04 and 6,305.72 is: 9,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.71 : 22,091.04 = 6,305.72 : x
  2. Step 2: Convert to fraction form
    14,733.71/22,091.04 = 6,305.72/x
  3. Step 3: Cross multiply
    14,733.71x = 22,091.04 × 6,305.72
  4. Step 4: Simplify right side
    14,733.71x = 139,299,802.29
  5. Step 5: Solve for x
    x = 139,299,802.29/14,733.71
  6. Step 6: Final answer
    x = 9,454.50

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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.