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Finding the Fourth Proportional to 21,907.40, 32,877.30 and 14,509.40

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Solution

The fourth proportional to 21,907.40, 32,877.30 and 14,509.40 is: 21,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.40 : 32,877.30 = 14,509.40 : x
  2. Step 2: Convert to fraction form
    21,907.40/32,877.30 = 14,509.40/x
  3. Step 3: Cross multiply
    21,907.40x = 32,877.30 × 14,509.40
  4. Step 4: Simplify right side
    21,907.40x = 477,029,896.62
  5. Step 5: Solve for x
    x = 477,029,896.62/21,907.40
  6. Step 6: Final answer
    x = 21,774.83

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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.