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Finding the Fourth Proportional to 24,573.88, 36,838.68 and 9,779.50

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Solution

The fourth proportional to 24,573.88, 36,838.68 and 9,779.50 is: 14,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.88 : 36,838.68 = 9,779.50 : x
  2. Step 2: Convert to fraction form
    24,573.88/36,838.68 = 9,779.50/x
  3. Step 3: Cross multiply
    24,573.88x = 36,838.68 × 9,779.50
  4. Step 4: Simplify right side
    24,573.88x = 360,263,871.06
  5. Step 5: Solve for x
    x = 360,263,871.06/24,573.88
  6. Step 6: Final answer
    x = 14,660.44

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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.