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Finding the Fourth Proportional to 19,561.70, 29,342.55 and 9,031.70

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Solution

The fourth proportional to 19,561.70, 29,342.55 and 9,031.70 is: 13,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.70 : 29,342.55 = 9,031.70 : x
  2. Step 2: Convert to fraction form
    19,561.70/29,342.55 = 9,031.70/x
  3. Step 3: Cross multiply
    19,561.70x = 29,342.55 × 9,031.70
  4. Step 4: Simplify right side
    19,561.70x = 265,013,108.84
  5. Step 5: Solve for x
    x = 265,013,108.84/19,561.70
  6. Step 6: Final answer
    x = 13,547.55

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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.