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Finding the Fourth Proportional to 16,570.80, 24,784.20 and 14,828.40

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Solution

The fourth proportional to 16,570.80, 24,784.20 and 14,828.40 is: 22,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.80 : 24,784.20 = 14,828.40 : x
  2. Step 2: Convert to fraction form
    16,570.80/24,784.20 = 14,828.40/x
  3. Step 3: Cross multiply
    16,570.80x = 24,784.20 × 14,828.40
  4. Step 4: Simplify right side
    16,570.80x = 367,510,031.28
  5. Step 5: Solve for x
    x = 367,510,031.28/16,570.80
  6. Step 6: Final answer
    x = 22,178.17

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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.