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Finding the Fourth Proportional to 14,532.84, 21,802.86 and 4,673.22

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Solution

The fourth proportional to 14,532.84, 21,802.86 and 4,673.22 is: 7,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.84 : 21,802.86 = 4,673.22 : x
  2. Step 2: Convert to fraction form
    14,532.84/21,802.86 = 4,673.22/x
  3. Step 3: Cross multiply
    14,532.84x = 21,802.86 × 4,673.22
  4. Step 4: Simplify right side
    14,532.84x = 101,889,561.41
  5. Step 5: Solve for x
    x = 101,889,561.41/14,532.84
  6. Step 6: Final answer
    x = 7,010.99

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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.