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Finding the Fourth Proportional to 14,060, 19,403.12 and 9,100.64

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Solution

The fourth proportional to 14,060, 19,403.12 and 9,100.64 is: 12,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,060 : 19,403.12 = 9,100.64 : x
  2. Step 2: Convert to fraction form
    14,060/19,403.12 = 9,100.64/x
  3. Step 3: Cross multiply
    14,060x = 19,403.12 × 9,100.64
  4. Step 4: Simplify right side
    14,060x = 176,580,810.00
  5. Step 5: Solve for x
    x = 176,580,810.00/14,060
  6. Step 6: Final answer
    x = 12,559.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.