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Finding the Fourth Proportional to 19,735.64, 27,235.72 and 10,783.64

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Solution

The fourth proportional to 19,735.64, 27,235.72 and 10,783.64 is: 14,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.64 : 27,235.72 = 10,783.64 : x
  2. Step 2: Convert to fraction form
    19,735.64/27,235.72 = 10,783.64/x
  3. Step 3: Cross multiply
    19,735.64x = 27,235.72 × 10,783.64
  4. Step 4: Simplify right side
    19,735.64x = 293,700,199.62
  5. Step 5: Solve for x
    x = 293,700,199.62/19,735.64
  6. Step 6: Final answer
    x = 14,881.72

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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.