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Finding the Fourth Proportional to 23,778, 32,815.32 and 14,346

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Solution

The fourth proportional to 23,778, 32,815.32 and 14,346 is: 19,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778 : 32,815.32 = 14,346 : x
  2. Step 2: Convert to fraction form
    23,778/32,815.32 = 14,346/x
  3. Step 3: Cross multiply
    23,778x = 32,815.32 × 14,346
  4. Step 4: Simplify right side
    23,778x = 470,768,580.72
  5. Step 5: Solve for x
    x = 470,768,580.72/23,778
  6. Step 6: Final answer
    x = 19,798.49

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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.