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Finding the Fourth Proportional to 17,582.18, 24,263.22 and 9,624.32

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Solution

The fourth proportional to 17,582.18, 24,263.22 and 9,624.32 is: 13,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.18 : 24,263.22 = 9,624.32 : x
  2. Step 2: Convert to fraction form
    17,582.18/24,263.22 = 9,624.32/x
  3. Step 3: Cross multiply
    17,582.18x = 24,263.22 × 9,624.32
  4. Step 4: Simplify right side
    17,582.18x = 233,516,993.51
  5. Step 5: Solve for x
    x = 233,516,993.51/17,582.18
  6. Step 6: Final answer
    x = 13,281.46

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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.