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Finding the Fourth Proportional to 24,894.84, 34,362.09 and 14,830.32

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Solution

The fourth proportional to 24,894.84, 34,362.09 and 14,830.32 is: 20,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.84 : 34,362.09 = 14,830.32 : x
  2. Step 2: Convert to fraction form
    24,894.84/34,362.09 = 14,830.32/x
  3. Step 3: Cross multiply
    24,894.84x = 34,362.09 × 14,830.32
  4. Step 4: Simplify right side
    24,894.84x = 509,600,790.57
  5. Step 5: Solve for x
    x = 509,600,790.57/24,894.84
  6. Step 6: Final answer
    x = 20,470.14

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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.