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Finding the Fourth Proportional to 24,335, 33,582.30 and 13,157

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Solution

The fourth proportional to 24,335, 33,582.30 and 13,157 is: 18,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335 : 33,582.30 = 13,157 : x
  2. Step 2: Convert to fraction form
    24,335/33,582.30 = 13,157/x
  3. Step 3: Cross multiply
    24,335x = 33,582.30 × 13,157
  4. Step 4: Simplify right side
    24,335x = 441,842,321.10
  5. Step 5: Solve for x
    x = 441,842,321.10/24,335
  6. Step 6: Final answer
    x = 18,156.66

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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.