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Finding the Fourth Proportional to 23,511.32, 35,266.58 and 9,471

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Solution

The fourth proportional to 23,511.32, 35,266.58 and 9,471 is: 14,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.32 : 35,266.58 = 9,471 : x
  2. Step 2: Convert to fraction form
    23,511.32/35,266.58 = 9,471/x
  3. Step 3: Cross multiply
    23,511.32x = 35,266.58 × 9,471
  4. Step 4: Simplify right side
    23,511.32x = 334,009,779.18
  5. Step 5: Solve for x
    x = 334,009,779.18/23,511.32
  6. Step 6: Final answer
    x = 14,206.34

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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.