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Finding the Fourth Proportional to 14,922, 22,386.26 and 5,688

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Solution

The fourth proportional to 14,922, 22,386.26 and 5,688 is: 8,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922 : 22,386.26 = 5,688 : x
  2. Step 2: Convert to fraction form
    14,922/22,386.26 = 5,688/x
  3. Step 3: Cross multiply
    14,922x = 22,386.26 × 5,688
  4. Step 4: Simplify right side
    14,922x = 127,333,046.88
  5. Step 5: Solve for x
    x = 127,333,046.88/14,922
  6. Step 6: Final answer
    x = 8,533.24

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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.