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Finding the Fourth Proportional to 23,636.94, 32,617.80 and 13,024.86

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Solution

The fourth proportional to 23,636.94, 32,617.80 and 13,024.86 is: 17,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,636.94 : 32,617.80 = 13,024.86 : x
  2. Step 2: Convert to fraction form
    23,636.94/32,617.80 = 13,024.86/x
  3. Step 3: Cross multiply
    23,636.94x = 32,617.80 × 13,024.86
  4. Step 4: Simplify right side
    23,636.94x = 424,842,278.51
  5. Step 5: Solve for x
    x = 424,842,278.51/23,636.94
  6. Step 6: Final answer
    x = 17,973.66

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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.