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Finding the Fourth Proportional to 23,534.53, 35,284.70 and 11,048.13

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Solution

The fourth proportional to 23,534.53, 35,284.70 and 11,048.13 is: 16,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.53 : 35,284.70 = 11,048.13 : x
  2. Step 2: Convert to fraction form
    23,534.53/35,284.70 = 11,048.13/x
  3. Step 3: Cross multiply
    23,534.53x = 35,284.70 × 11,048.13
  4. Step 4: Simplify right side
    23,534.53x = 389,829,980.23
  5. Step 5: Solve for x
    x = 389,829,980.23/23,534.53
  6. Step 6: Final answer
    x = 16,564.17

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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.