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Finding the Fourth Proportional to 19,515.64, 26,931.65 and 10,563.14

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Solution

The fourth proportional to 19,515.64, 26,931.65 and 10,563.14 is: 14,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,515.64 : 26,931.65 = 10,563.14 : x
  2. Step 2: Convert to fraction form
    19,515.64/26,931.65 = 10,563.14/x
  3. Step 3: Cross multiply
    19,515.64x = 26,931.65 × 10,563.14
  4. Step 4: Simplify right side
    19,515.64x = 284,482,789.38
  5. Step 5: Solve for x
    x = 284,482,789.38/19,515.64
  6. Step 6: Final answer
    x = 14,577.17

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Why These Related Problems?

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