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Finding the Fourth Proportional to 17,776.48, 24,529.44 and 9,818.22

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Solution

The fourth proportional to 17,776.48, 24,529.44 and 9,818.22 is: 13,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.48 : 24,529.44 = 9,818.22 : x
  2. Step 2: Convert to fraction form
    17,776.48/24,529.44 = 9,818.22/x
  3. Step 3: Cross multiply
    17,776.48x = 24,529.44 × 9,818.22
  4. Step 4: Simplify right side
    17,776.48x = 240,835,438.40
  5. Step 5: Solve for x
    x = 240,835,438.40/17,776.48
  6. Step 6: Final answer
    x = 13,547.98

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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.