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Finding the Fourth Proportional to 15,164, 22,746.81 and 4,776.56

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Solution

The fourth proportional to 15,164, 22,746.81 and 4,776.56 is: 7,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164 : 22,746.81 = 4,776.56 : x
  2. Step 2: Convert to fraction form
    15,164/22,746.81 = 4,776.56/x
  3. Step 3: Cross multiply
    15,164x = 22,746.81 × 4,776.56
  4. Step 4: Simplify right side
    15,164x = 108,651,502.77
  5. Step 5: Solve for x
    x = 108,651,502.77/15,164
  6. Step 6: Final answer
    x = 7,165.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.