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Finding the Fourth Proportional to 27,368.16, 37,766.16 and 16,188

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Solution

The fourth proportional to 27,368.16, 37,766.16 and 16,188 is: 22,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,368.16 : 37,766.16 = 16,188 : x
  2. Step 2: Convert to fraction form
    27,368.16/37,766.16 = 16,188/x
  3. Step 3: Cross multiply
    27,368.16x = 37,766.16 × 16,188
  4. Step 4: Simplify right side
    27,368.16x = 611,358,598.08
  5. Step 5: Solve for x
    x = 611,358,598.08/27,368.16
  6. Step 6: Final answer
    x = 22,338.32

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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.