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Finding the Fourth Proportional to 23,509.87, 35,264.94 and 9,476.35

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Solution

The fourth proportional to 23,509.87, 35,264.94 and 9,476.35 is: 14,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.87 : 35,264.94 = 9,476.35 : x
  2. Step 2: Convert to fraction form
    23,509.87/35,264.94 = 9,476.35/x
  3. Step 3: Cross multiply
    23,509.87x = 35,264.94 × 9,476.35
  4. Step 4: Simplify right side
    23,509.87x = 334,182,914.17
  5. Step 5: Solve for x
    x = 334,182,914.17/23,509.87
  6. Step 6: Final answer
    x = 14,214.58

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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.