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Finding the Fourth Proportional to 23,506, 32,437.20 and 14,079.76

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Solution

The fourth proportional to 23,506, 32,437.20 and 14,079.76 is: 19,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506 : 32,437.20 = 14,079.76 : x
  2. Step 2: Convert to fraction form
    23,506/32,437.20 = 14,079.76/x
  3. Step 3: Cross multiply
    23,506x = 32,437.20 × 14,079.76
  4. Step 4: Simplify right side
    23,506x = 456,707,991.07
  5. Step 5: Solve for x
    x = 456,707,991.07/23,506
  6. Step 6: Final answer
    x = 19,429.42

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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.