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Finding the Fourth Proportional to 14,210.64, 21,316 and 5,448.24

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Solution

The fourth proportional to 14,210.64, 21,316 and 5,448.24 is: 8,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.64 : 21,316 = 5,448.24 : x
  2. Step 2: Convert to fraction form
    14,210.64/21,316 = 5,448.24/x
  3. Step 3: Cross multiply
    14,210.64x = 21,316 × 5,448.24
  4. Step 4: Simplify right side
    14,210.64x = 116,134,683.84
  5. Step 5: Solve for x
    x = 116,134,683.84/14,210.64
  6. Step 6: Final answer
    x = 8,172.38

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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.