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Finding the Fourth Proportional to 16,503.84, 22,752.95 and 10,828.58

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Solution

The fourth proportional to 16,503.84, 22,752.95 and 10,828.58 is: 14,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.84 : 22,752.95 = 10,828.58 : x
  2. Step 2: Convert to fraction form
    16,503.84/22,752.95 = 10,828.58/x
  3. Step 3: Cross multiply
    16,503.84x = 22,752.95 × 10,828.58
  4. Step 4: Simplify right side
    16,503.84x = 246,381,971.40
  5. Step 5: Solve for x
    x = 246,381,971.40/16,503.84
  6. Step 6: Final answer
    x = 14,928.77

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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.