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Finding the Fourth Proportional to 15,655, 23,482.50 and 4,561.96

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Solution

The fourth proportional to 15,655, 23,482.50 and 4,561.96 is: 6,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655 : 23,482.50 = 4,561.96 : x
  2. Step 2: Convert to fraction form
    15,655/23,482.50 = 4,561.96/x
  3. Step 3: Cross multiply
    15,655x = 23,482.50 × 4,561.96
  4. Step 4: Simplify right side
    15,655x = 107,126,225.70
  5. Step 5: Solve for x
    x = 107,126,225.70/15,655
  6. Step 6: Final answer
    x = 6,842.94

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Why These Related Problems?

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