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Finding the Fourth Proportional to 15,666.45, 23,486.51 and 7,342.08

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Solution

The fourth proportional to 15,666.45, 23,486.51 and 7,342.08 is: 11,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.45 : 23,486.51 = 7,342.08 : x
  2. Step 2: Convert to fraction form
    15,666.45/23,486.51 = 7,342.08/x
  3. Step 3: Cross multiply
    15,666.45x = 23,486.51 × 7,342.08
  4. Step 4: Simplify right side
    15,666.45x = 172,439,798.63
  5. Step 5: Solve for x
    x = 172,439,798.63/15,666.45
  6. Step 6: Final answer
    x = 11,006.95

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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.