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Finding the Fourth Proportional to 15,624.50, 21,564.38 and 9,004.34

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Solution

The fourth proportional to 15,624.50, 21,564.38 and 9,004.34 is: 12,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624.50 : 21,564.38 = 9,004.34 : x
  2. Step 2: Convert to fraction form
    15,624.50/21,564.38 = 9,004.34/x
  3. Step 3: Cross multiply
    15,624.50x = 21,564.38 × 9,004.34
  4. Step 4: Simplify right side
    15,624.50x = 194,173,009.41
  5. Step 5: Solve for x
    x = 194,173,009.41/15,624.50
  6. Step 6: Final answer
    x = 12,427.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.