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Finding the Fourth Proportional to 19,763.19, 29,656.47 and 7,291.98

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Solution

The fourth proportional to 19,763.19, 29,656.47 and 7,291.98 is: 10,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.19 : 29,656.47 = 7,291.98 : x
  2. Step 2: Convert to fraction form
    19,763.19/29,656.47 = 7,291.98/x
  3. Step 3: Cross multiply
    19,763.19x = 29,656.47 × 7,291.98
  4. Step 4: Simplify right side
    19,763.19x = 216,254,386.11
  5. Step 5: Solve for x
    x = 216,254,386.11/19,763.19
  6. Step 6: Final answer
    x = 10,942.28

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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.