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Finding the Fourth Proportional to 13,153.94, 19,726.05 and 5,358.50

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Solution

The fourth proportional to 13,153.94, 19,726.05 and 5,358.50 is: 8,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.94 : 19,726.05 = 5,358.50 : x
  2. Step 2: Convert to fraction form
    13,153.94/19,726.05 = 5,358.50/x
  3. Step 3: Cross multiply
    13,153.94x = 19,726.05 × 5,358.50
  4. Step 4: Simplify right side
    13,153.94x = 105,702,038.93
  5. Step 5: Solve for x
    x = 105,702,038.93/13,153.94
  6. Step 6: Final answer
    x = 8,035.77

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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.