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Finding the Fourth Proportional to 19,782.10, 27,312.03 and 17,653.98

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Solution

The fourth proportional to 19,782.10, 27,312.03 and 17,653.98 is: 24,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.10 : 27,312.03 = 17,653.98 : x
  2. Step 2: Convert to fraction form
    19,782.10/27,312.03 = 17,653.98/x
  3. Step 3: Cross multiply
    19,782.10x = 27,312.03 × 17,653.98
  4. Step 4: Simplify right side
    19,782.10x = 482,166,031.38
  5. Step 5: Solve for x
    x = 482,166,031.38/19,782.10
  6. Step 6: Final answer
    x = 24,373.85

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1.5x scale

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.