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Finding the Fourth Proportional to 19,706.68, 29,529.63 and 9,699.94

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Solution

The fourth proportional to 19,706.68, 29,529.63 and 9,699.94 is: 14,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.68 : 29,529.63 = 9,699.94 : x
  2. Step 2: Convert to fraction form
    19,706.68/29,529.63 = 9,699.94/x
  3. Step 3: Cross multiply
    19,706.68x = 29,529.63 × 9,699.94
  4. Step 4: Simplify right side
    19,706.68x = 286,435,639.22
  5. Step 5: Solve for x
    x = 286,435,639.22/19,706.68
  6. Step 6: Final answer
    x = 14,534.95

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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.