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Finding the Fourth Proportional to 14,573.76, 20,111.40 and 8,288.16

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Solution

The fourth proportional to 14,573.76, 20,111.40 and 8,288.16 is: 11,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.76 : 20,111.40 = 8,288.16 : x
  2. Step 2: Convert to fraction form
    14,573.76/20,111.40 = 8,288.16/x
  3. Step 3: Cross multiply
    14,573.76x = 20,111.40 × 8,288.16
  4. Step 4: Simplify right side
    14,573.76x = 166,686,501.02
  5. Step 5: Solve for x
    x = 166,686,501.02/14,573.76
  6. Step 6: Final answer
    x = 11,437.44

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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.