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Finding the Fourth Proportional to 14,009.64, 19,357.84 and 11,200.16

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Solution

The fourth proportional to 14,009.64, 19,357.84 and 11,200.16 is: 15,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.64 : 19,357.84 = 11,200.16 : x
  2. Step 2: Convert to fraction form
    14,009.64/19,357.84 = 11,200.16/x
  3. Step 3: Cross multiply
    14,009.64x = 19,357.84 × 11,200.16
  4. Step 4: Simplify right side
    14,009.64x = 216,810,905.25
  5. Step 5: Solve for x
    x = 216,810,905.25/14,009.64
  6. Step 6: Final answer
    x = 15,475.84

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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.