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Finding the Fourth Proportional to 15,164.34, 22,746.51 and 4,633.94

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Solution

The fourth proportional to 15,164.34, 22,746.51 and 4,633.94 is: 6,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.34 : 22,746.51 = 4,633.94 : x
  2. Step 2: Convert to fraction form
    15,164.34/22,746.51 = 4,633.94/x
  3. Step 3: Cross multiply
    15,164.34x = 22,746.51 × 4,633.94
  4. Step 4: Simplify right side
    15,164.34x = 105,405,848.82
  5. Step 5: Solve for x
    x = 105,405,848.82/15,164.34
  6. Step 6: Final answer
    x = 6,950.90

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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.