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Finding the Fourth Proportional to 17,737.19, 24,477.32 and 10,184.01

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Solution

The fourth proportional to 17,737.19, 24,477.32 and 10,184.01 is: 14,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.19 : 24,477.32 = 10,184.01 : x
  2. Step 2: Convert to fraction form
    17,737.19/24,477.32 = 10,184.01/x
  3. Step 3: Cross multiply
    17,737.19x = 24,477.32 × 10,184.01
  4. Step 4: Simplify right side
    17,737.19x = 249,277,220.73
  5. Step 5: Solve for x
    x = 249,277,220.73/17,737.19
  6. Step 6: Final answer
    x = 14,053.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.