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Finding the Fourth Proportional to 17,582.22, 24,263.60 and 9,624.51

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Solution

The fourth proportional to 17,582.22, 24,263.60 and 9,624.51 is: 13,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.22 : 24,263.60 = 9,624.51 : x
  2. Step 2: Convert to fraction form
    17,582.22/24,263.60 = 9,624.51/x
  3. Step 3: Cross multiply
    17,582.22x = 24,263.60 × 9,624.51
  4. Step 4: Simplify right side
    17,582.22x = 233,525,260.84
  5. Step 5: Solve for x
    x = 233,525,260.84/17,582.22
  6. Step 6: Final answer
    x = 13,281.90

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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.