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Finding the Fourth Proportional to 15,666.14, 23,491.74 and 9,094.16

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Solution

The fourth proportional to 15,666.14, 23,491.74 and 9,094.16 is: 13,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.14 : 23,491.74 = 9,094.16 : x
  2. Step 2: Convert to fraction form
    15,666.14/23,491.74 = 9,094.16/x
  3. Step 3: Cross multiply
    15,666.14x = 23,491.74 × 9,094.16
  4. Step 4: Simplify right side
    15,666.14x = 213,637,642.24
  5. Step 5: Solve for x
    x = 213,637,642.24/15,666.14
  6. Step 6: Final answer
    x = 13,636.90

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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.