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Finding the Fourth Proportional to 16,970.60, 23,421.84 and 10,257.20

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Solution

The fourth proportional to 16,970.60, 23,421.84 and 10,257.20 is: 14,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.60 : 23,421.84 = 10,257.20 : x
  2. Step 2: Convert to fraction form
    16,970.60/23,421.84 = 10,257.20/x
  3. Step 3: Cross multiply
    16,970.60x = 23,421.84 × 10,257.20
  4. Step 4: Simplify right side
    16,970.60x = 240,242,497.25
  5. Step 5: Solve for x
    x = 240,242,497.25/16,970.60
  6. Step 6: Final answer
    x = 14,156.39

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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.