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Finding the Fourth Proportional to 24,784.34, 37,183.79 and 9,985.64

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Solution

The fourth proportional to 24,784.34, 37,183.79 and 9,985.64 is: 14,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.34 : 37,183.79 = 9,985.64 : x
  2. Step 2: Convert to fraction form
    24,784.34/37,183.79 = 9,985.64/x
  3. Step 3: Cross multiply
    24,784.34x = 37,183.79 × 9,985.64
  4. Step 4: Simplify right side
    24,784.34x = 371,303,779.82
  5. Step 5: Solve for x
    x = 371,303,779.82/24,784.34
  6. Step 6: Final answer
    x = 14,981.39

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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.