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Finding the Fourth Proportional to 14,567.18, 21,853.62 and 5,802.98

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Solution

The fourth proportional to 14,567.18, 21,853.62 and 5,802.98 is: 8,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.18 : 21,853.62 = 5,802.98 : x
  2. Step 2: Convert to fraction form
    14,567.18/21,853.62 = 5,802.98/x
  3. Step 3: Cross multiply
    14,567.18x = 21,853.62 × 5,802.98
  4. Step 4: Simplify right side
    14,567.18x = 126,816,010.52
  5. Step 5: Solve for x
    x = 126,816,010.52/14,567.18
  6. Step 6: Final answer
    x = 8,705.60

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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.