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Finding the Fourth Proportional to 14,275.34, 21,417.39 and 6,384.49

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Solution

The fourth proportional to 14,275.34, 21,417.39 and 6,384.49 is: 9,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.34 : 21,417.39 = 6,384.49 : x
  2. Step 2: Convert to fraction form
    14,275.34/21,417.39 = 6,384.49/x
  3. Step 3: Cross multiply
    14,275.34x = 21,417.39 × 6,384.49
  4. Step 4: Simplify right side
    14,275.34x = 136,739,176.00
  5. Step 5: Solve for x
    x = 136,739,176.00/14,275.34
  6. Step 6: Final answer
    x = 9,578.70

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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.