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Finding the Fourth Proportional to 15,416.16, 23,097.36 and 7,605.60

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Solution

The fourth proportional to 15,416.16, 23,097.36 and 7,605.60 is: 11,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.16 : 23,097.36 = 7,605.60 : x
  2. Step 2: Convert to fraction form
    15,416.16/23,097.36 = 7,605.60/x
  3. Step 3: Cross multiply
    15,416.16x = 23,097.36 × 7,605.60
  4. Step 4: Simplify right side
    15,416.16x = 175,669,281.22
  5. Step 5: Solve for x
    x = 175,669,281.22/15,416.16
  6. Step 6: Final answer
    x = 11,395.14

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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.