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Finding the Fourth Proportional to 23,675.16, 35,518.30 and 7,035.32

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Solution

The fourth proportional to 23,675.16, 35,518.30 and 7,035.32 is: 10,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.16 : 35,518.30 = 7,035.32 : x
  2. Step 2: Convert to fraction form
    23,675.16/35,518.30 = 7,035.32/x
  3. Step 3: Cross multiply
    23,675.16x = 35,518.30 × 7,035.32
  4. Step 4: Simplify right side
    23,675.16x = 249,882,606.36
  5. Step 5: Solve for x
    x = 249,882,606.36/23,675.16
  6. Step 6: Final answer
    x = 10,554.63

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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.