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Finding the Fourth Proportional to 13,293.42, 19,946.00 and 7,051.90

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Solution

The fourth proportional to 13,293.42, 19,946.00 and 7,051.90 is: 10,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293.42 : 19,946.00 = 7,051.90 : x
  2. Step 2: Convert to fraction form
    13,293.42/19,946.00 = 7,051.90/x
  3. Step 3: Cross multiply
    13,293.42x = 19,946.00 × 7,051.90
  4. Step 4: Simplify right side
    13,293.42x = 140,657,261.07
  5. Step 5: Solve for x
    x = 140,657,261.07/13,293.42
  6. Step 6: Final answer
    x = 10,580.97

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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.