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Finding the Fourth Proportional to 15,716.16, 23,574.24 and 6,960

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Solution

The fourth proportional to 15,716.16, 23,574.24 and 6,960 is: 10,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.16 : 23,574.24 = 6,960 : x
  2. Step 2: Convert to fraction form
    15,716.16/23,574.24 = 6,960/x
  3. Step 3: Cross multiply
    15,716.16x = 23,574.24 × 6,960
  4. Step 4: Simplify right side
    15,716.16x = 164,076,710.40
  5. Step 5: Solve for x
    x = 164,076,710.40/15,716.16
  6. Step 6: Final answer
    x = 10,440

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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.