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Finding the Fourth Proportional to 19,674.16, 29,503.98 and 7,190.51

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Solution

The fourth proportional to 19,674.16, 29,503.98 and 7,190.51 is: 10,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.16 : 29,503.98 = 7,190.51 : x
  2. Step 2: Convert to fraction form
    19,674.16/29,503.98 = 7,190.51/x
  3. Step 3: Cross multiply
    19,674.16x = 29,503.98 × 7,190.51
  4. Step 4: Simplify right side
    19,674.16x = 212,148,515.71
  5. Step 5: Solve for x
    x = 212,148,515.71/19,674.16
  6. Step 6: Final answer
    x = 10,783.11

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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.