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Finding the Fourth Proportional to 23,346, 32,220 and 13,410

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Solution

The fourth proportional to 23,346, 32,220 and 13,410 is: 18,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,346 : 32,220 = 13,410 : x
  2. Step 2: Convert to fraction form
    23,346/32,220 = 13,410/x
  3. Step 3: Cross multiply
    23,346x = 32,220 × 13,410
  4. Step 4: Simplify right side
    23,346x = 432,070,200
  5. Step 5: Solve for x
    x = 432,070,200/23,346
  6. Step 6: Final answer
    x = 18,507.25

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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.