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Finding the Fourth Proportional to 23,354, 32,228.52 and 14,970.50

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Solution

The fourth proportional to 23,354, 32,228.52 and 14,970.50 is: 20,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354 : 32,228.52 = 14,970.50 : x
  2. Step 2: Convert to fraction form
    23,354/32,228.52 = 14,970.50/x
  3. Step 3: Cross multiply
    23,354x = 32,228.52 × 14,970.50
  4. Step 4: Simplify right side
    23,354x = 482,477,058.66
  5. Step 5: Solve for x
    x = 482,477,058.66/23,354
  6. Step 6: Final answer
    x = 20,659.29

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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.