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Finding the Fourth Proportional to 27,710.16, 38,240.64 and 16,530

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Solution

The fourth proportional to 27,710.16, 38,240.64 and 16,530 is: 22,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.16 : 38,240.64 = 16,530 : x
  2. Step 2: Convert to fraction form
    27,710.16/38,240.64 = 16,530/x
  3. Step 3: Cross multiply
    27,710.16x = 38,240.64 × 16,530
  4. Step 4: Simplify right side
    27,710.16x = 632,117,779.20
  5. Step 5: Solve for x
    x = 632,117,779.20/27,710.16
  6. Step 6: Final answer
    x = 22,811.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.