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Finding the Fourth Proportional to 14,240.34, 21,341.88 and 7,652.34

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Solution

The fourth proportional to 14,240.34, 21,341.88 and 7,652.34 is: 11,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.34 : 21,341.88 = 7,652.34 : x
  2. Step 2: Convert to fraction form
    14,240.34/21,341.88 = 7,652.34/x
  3. Step 3: Cross multiply
    14,240.34x = 21,341.88 × 7,652.34
  4. Step 4: Simplify right side
    14,240.34x = 163,315,322.00
  5. Step 5: Solve for x
    x = 163,315,322.00/14,240.34
  6. Step 6: Final answer
    x = 11,468.50

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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.