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Finding the Fourth Proportional to 24,429, 36,643.54 and 8,842.98

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Solution

The fourth proportional to 24,429, 36,643.54 and 8,842.98 is: 13,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429 : 36,643.54 = 8,842.98 : x
  2. Step 2: Convert to fraction form
    24,429/36,643.54 = 8,842.98/x
  3. Step 3: Cross multiply
    24,429x = 36,643.54 × 8,842.98
  4. Step 4: Simplify right side
    24,429x = 324,038,091.35
  5. Step 5: Solve for x
    x = 324,038,091.35/24,429
  6. Step 6: Final answer
    x = 13,264.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.