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Finding the Fourth Proportional to 19,407.84, 29,114.64 and 9,545.76

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Solution

The fourth proportional to 19,407.84, 29,114.64 and 9,545.76 is: 14,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.84 : 29,114.64 = 9,545.76 : x
  2. Step 2: Convert to fraction form
    19,407.84/29,114.64 = 9,545.76/x
  3. Step 3: Cross multiply
    19,407.84x = 29,114.64 × 9,545.76
  4. Step 4: Simplify right side
    19,407.84x = 277,921,365.93
  5. Step 5: Solve for x
    x = 277,921,365.93/19,407.84
  6. Step 6: Final answer
    x = 14,320.06

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1.5x scale

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.