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Finding the Fourth Proportional to 17,642.37, 24,346.46 and 9,985.51

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Solution

The fourth proportional to 17,642.37, 24,346.46 and 9,985.51 is: 13,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.37 : 24,346.46 = 9,985.51 : x
  2. Step 2: Convert to fraction form
    17,642.37/24,346.46 = 9,985.51/x
  3. Step 3: Cross multiply
    17,642.37x = 24,346.46 × 9,985.51
  4. Step 4: Simplify right side
    17,642.37x = 243,111,819.79
  5. Step 5: Solve for x
    x = 243,111,819.79/17,642.37
  6. Step 6: Final answer
    x = 13,780.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.