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Finding the Fourth Proportional to 23,648.64, 32,636.58 and 13,038.24

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Solution

The fourth proportional to 23,648.64, 32,636.58 and 13,038.24 is: 17,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.64 : 32,636.58 = 13,038.24 : x
  2. Step 2: Convert to fraction form
    23,648.64/32,636.58 = 13,038.24/x
  3. Step 3: Cross multiply
    23,648.64x = 32,636.58 × 13,038.24
  4. Step 4: Simplify right side
    23,648.64x = 425,523,562.82
  5. Step 5: Solve for x
    x = 425,523,562.82/23,648.64
  6. Step 6: Final answer
    x = 17,993.57

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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.