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Finding the Fourth Proportional to 23,907.58, 32,990.14 and 13,834.02

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Solution

The fourth proportional to 23,907.58, 32,990.14 and 13,834.02 is: 19,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.58 : 32,990.14 = 13,834.02 : x
  2. Step 2: Convert to fraction form
    23,907.58/32,990.14 = 13,834.02/x
  3. Step 3: Cross multiply
    23,907.58x = 32,990.14 × 13,834.02
  4. Step 4: Simplify right side
    23,907.58x = 456,386,256.56
  5. Step 5: Solve for x
    x = 456,386,256.56/23,907.58
  6. Step 6: Final answer
    x = 19,089.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.