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Finding the Fourth Proportional to 17,038.14, 23,512.88 and 9,484.80

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Solution

The fourth proportional to 17,038.14, 23,512.88 and 9,484.80 is: 13,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.14 : 23,512.88 = 9,484.80 : x
  2. Step 2: Convert to fraction form
    17,038.14/23,512.88 = 9,484.80/x
  3. Step 3: Cross multiply
    17,038.14x = 23,512.88 × 9,484.80
  4. Step 4: Simplify right side
    17,038.14x = 223,014,964.22
  5. Step 5: Solve for x
    x = 223,014,964.22/17,038.14
  6. Step 6: Final answer
    x = 13,089.16

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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.