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Finding the Fourth Proportional to 24,155, 36,235.74 and 10,307.24

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Solution

The fourth proportional to 24,155, 36,235.74 and 10,307.24 is: 15,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,155 : 36,235.74 = 10,307.24 : x
  2. Step 2: Convert to fraction form
    24,155/36,235.74 = 10,307.24/x
  3. Step 3: Cross multiply
    24,155x = 36,235.74 × 10,307.24
  4. Step 4: Simplify right side
    24,155x = 373,490,468.76
  5. Step 5: Solve for x
    x = 373,490,468.76/24,155
  6. Step 6: Final answer
    x = 15,462.24

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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.