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Finding the Fourth Proportional to 14,468.34, 19,970.01 and 8,184.18

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Solution

The fourth proportional to 14,468.34, 19,970.01 and 8,184.18 is: 11,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.34 : 19,970.01 = 8,184.18 : x
  2. Step 2: Convert to fraction form
    14,468.34/19,970.01 = 8,184.18/x
  3. Step 3: Cross multiply
    14,468.34x = 19,970.01 × 8,184.18
  4. Step 4: Simplify right side
    14,468.34x = 163,438,156.44
  5. Step 5: Solve for x
    x = 163,438,156.44/14,468.34
  6. Step 6: Final answer
    x = 11,296.26

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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.