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Finding the Fourth Proportional to 24,584.58, 36,856.53 and 9,584.28

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Solution

The fourth proportional to 24,584.58, 36,856.53 and 9,584.28 is: 14,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,584.58 : 36,856.53 = 9,584.28 : x
  2. Step 2: Convert to fraction form
    24,584.58/36,856.53 = 9,584.28/x
  3. Step 3: Cross multiply
    24,584.58x = 36,856.53 × 9,584.28
  4. Step 4: Simplify right side
    24,584.58x = 353,243,303.35
  5. Step 5: Solve for x
    x = 353,243,303.35/24,584.58
  6. Step 6: Final answer
    x = 14,368.49

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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.