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Finding the Fourth Proportional to 14,148.84, 19,505.90 and 11,287.28

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Solution

The fourth proportional to 14,148.84, 19,505.90 and 11,287.28 is: 15,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.84 : 19,505.90 = 11,287.28 : x
  2. Step 2: Convert to fraction form
    14,148.84/19,505.90 = 11,287.28/x
  3. Step 3: Cross multiply
    14,148.84x = 19,505.90 × 11,287.28
  4. Step 4: Simplify right side
    14,148.84x = 220,168,547.28
  5. Step 5: Solve for x
    x = 220,168,547.28/14,148.84
  6. Step 6: Final answer
    x = 15,560.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.