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Finding the Fourth Proportional to 14,345.64, 21,518.54 and 6,549

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Solution

The fourth proportional to 14,345.64, 21,518.54 and 6,549 is: 9,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.64 : 21,518.54 = 6,549 : x
  2. Step 2: Convert to fraction form
    14,345.64/21,518.54 = 6,549/x
  3. Step 3: Cross multiply
    14,345.64x = 21,518.54 × 6,549
  4. Step 4: Simplify right side
    14,345.64x = 140,924,918.46
  5. Step 5: Solve for x
    x = 140,924,918.46/14,345.64
  6. Step 6: Final answer
    x = 9,823.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.