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Finding the Fourth Proportional to 14,896.64, 22,347.76 and 7,106

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Solution

The fourth proportional to 14,896.64, 22,347.76 and 7,106 is: 10,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.64 : 22,347.76 = 7,106 : x
  2. Step 2: Convert to fraction form
    14,896.64/22,347.76 = 7,106/x
  3. Step 3: Cross multiply
    14,896.64x = 22,347.76 × 7,106
  4. Step 4: Simplify right side
    14,896.64x = 158,803,182.56
  5. Step 5: Solve for x
    x = 158,803,182.56/14,896.64
  6. Step 6: Final answer
    x = 10,660.34

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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.