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Finding the Fourth Proportional to 23,316, 32,176.10 and 12,705.63

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Solution

The fourth proportional to 23,316, 32,176.10 and 12,705.63 is: 17,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,316 : 32,176.10 = 12,705.63 : x
  2. Step 2: Convert to fraction form
    23,316/32,176.10 = 12,705.63/x
  3. Step 3: Cross multiply
    23,316x = 32,176.10 × 12,705.63
  4. Step 4: Simplify right side
    23,316x = 408,817,557.91
  5. Step 5: Solve for x
    x = 408,817,557.91/23,316
  6. Step 6: Final answer
    x = 17,533.78

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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.