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Finding the Fourth Proportional to 17,851.50, 24,635.07 and 9,894.93

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Solution

The fourth proportional to 17,851.50, 24,635.07 and 9,894.93 is: 13,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.50 : 24,635.07 = 9,894.93 : x
  2. Step 2: Convert to fraction form
    17,851.50/24,635.07 = 9,894.93/x
  3. Step 3: Cross multiply
    17,851.50x = 24,635.07 × 9,894.93
  4. Step 4: Simplify right side
    17,851.50x = 243,762,200.81
  5. Step 5: Solve for x
    x = 243,762,200.81/17,851.50
  6. Step 6: Final answer
    x = 13,655.00

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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.