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Finding the Fourth Proportional to 14,468.34, 21,692 and 9,776.72

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Solution

The fourth proportional to 14,468.34, 21,692 and 9,776.72 is: 14,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.34 : 21,692 = 9,776.72 : x
  2. Step 2: Convert to fraction form
    14,468.34/21,692 = 9,776.72/x
  3. Step 3: Cross multiply
    14,468.34x = 21,692 × 9,776.72
  4. Step 4: Simplify right side
    14,468.34x = 212,076,610.24
  5. Step 5: Solve for x
    x = 212,076,610.24/14,468.34
  6. Step 6: Final answer
    x = 14,657.98

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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.