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Finding the Fourth Proportional to 14,435.84, 21,646.02 and 7,412.96

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Solution

The fourth proportional to 14,435.84, 21,646.02 and 7,412.96 is: 11,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.84 : 21,646.02 = 7,412.96 : x
  2. Step 2: Convert to fraction form
    14,435.84/21,646.02 = 7,412.96/x
  3. Step 3: Cross multiply
    14,435.84x = 21,646.02 × 7,412.96
  4. Step 4: Simplify right side
    14,435.84x = 160,461,080.42
  5. Step 5: Solve for x
    x = 160,461,080.42/14,435.84
  6. Step 6: Final answer
    x = 11,115.47

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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.