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Finding the Fourth Proportional to 14,922, 22,387.88 and 4,533.76

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Solution

The fourth proportional to 14,922, 22,387.88 and 4,533.76 is: 6,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922 : 22,387.88 = 4,533.76 : x
  2. Step 2: Convert to fraction form
    14,922/22,387.88 = 4,533.76/x
  3. Step 3: Cross multiply
    14,922x = 22,387.88 × 4,533.76
  4. Step 4: Simplify right side
    14,922x = 101,501,274.83
  5. Step 5: Solve for x
    x = 101,501,274.83/14,922
  6. Step 6: Final answer
    x = 6,802.12

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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.