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Finding the Fourth Proportional to 14,158.06, 21,214.95 and 8,953

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Solution

The fourth proportional to 14,158.06, 21,214.95 and 8,953 is: 13,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.06 : 21,214.95 = 8,953 : x
  2. Step 2: Convert to fraction form
    14,158.06/21,214.95 = 8,953/x
  3. Step 3: Cross multiply
    14,158.06x = 21,214.95 × 8,953
  4. Step 4: Simplify right side
    14,158.06x = 189,937,447.35
  5. Step 5: Solve for x
    x = 189,937,447.35/14,158.06
  6. Step 6: Final answer
    x = 13,415.50

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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.