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Finding the Fourth Proportional to 24,643.46, 34,007.95 and 13,465.46

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Solution

The fourth proportional to 24,643.46, 34,007.95 and 13,465.46 is: 18,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.46 : 34,007.95 = 13,465.46 : x
  2. Step 2: Convert to fraction form
    24,643.46/34,007.95 = 13,465.46/x
  3. Step 3: Cross multiply
    24,643.46x = 34,007.95 × 13,465.46
  4. Step 4: Simplify right side
    24,643.46x = 457,932,690.41
  5. Step 5: Solve for x
    x = 457,932,690.41/24,643.46
  6. Step 6: Final answer
    x = 18,582.32

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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.