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Finding the Fourth Proportional to 24,509.72, 36,776.74 and 9,718.32

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Solution

The fourth proportional to 24,509.72, 36,776.74 and 9,718.32 is: 14,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.72 : 36,776.74 = 9,718.32 : x
  2. Step 2: Convert to fraction form
    24,509.72/36,776.74 = 9,718.32/x
  3. Step 3: Cross multiply
    24,509.72x = 36,776.74 × 9,718.32
  4. Step 4: Simplify right side
    24,509.72x = 357,408,127.88
  5. Step 5: Solve for x
    x = 357,408,127.88/24,509.72
  6. Step 6: Final answer
    x = 14,582.30

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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.