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Finding the Fourth Proportional to 27,838.84, 38,415.95 and 16,509.42

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Solution

The fourth proportional to 27,838.84, 38,415.95 and 16,509.42 is: 22,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.84 : 38,415.95 = 16,509.42 : x
  2. Step 2: Convert to fraction form
    27,838.84/38,415.95 = 16,509.42/x
  3. Step 3: Cross multiply
    27,838.84x = 38,415.95 × 16,509.42
  4. Step 4: Simplify right side
    27,838.84x = 634,225,053.25
  5. Step 5: Solve for x
    x = 634,225,053.25/27,838.84
  6. Step 6: Final answer
    x = 22,782.02

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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.