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Finding the Fourth Proportional to 19,675.76, 29,495.82 and 9,818.08

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Solution

The fourth proportional to 19,675.76, 29,495.82 and 9,818.08 is: 14,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.76 : 29,495.82 = 9,818.08 : x
  2. Step 2: Convert to fraction form
    19,675.76/29,495.82 = 9,818.08/x
  3. Step 3: Cross multiply
    19,675.76x = 29,495.82 × 9,818.08
  4. Step 4: Simplify right side
    19,675.76x = 289,592,320.43
  5. Step 5: Solve for x
    x = 289,592,320.43/19,675.76
  6. Step 6: Final answer
    x = 14,718.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.