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Finding the Fourth Proportional to 14,497.84, 19,987.98 and 10,461.28

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Solution

The fourth proportional to 14,497.84, 19,987.98 and 10,461.28 is: 14,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.84 : 19,987.98 = 10,461.28 : x
  2. Step 2: Convert to fraction form
    14,497.84/19,987.98 = 10,461.28/x
  3. Step 3: Cross multiply
    14,497.84x = 19,987.98 × 10,461.28
  4. Step 4: Simplify right side
    14,497.84x = 209,099,855.41
  5. Step 5: Solve for x
    x = 209,099,855.41/14,497.84
  6. Step 6: Final answer
    x = 14,422.83

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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.