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Finding the Fourth Proportional to 14,203.84, 19,603.20 and 7,916.80

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Solution

The fourth proportional to 14,203.84, 19,603.20 and 7,916.80 is: 10,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.84 : 19,603.20 = 7,916.80 : x
  2. Step 2: Convert to fraction form
    14,203.84/19,603.20 = 7,916.80/x
  3. Step 3: Cross multiply
    14,203.84x = 19,603.20 × 7,916.80
  4. Step 4: Simplify right side
    14,203.84x = 155,194,613.76
  5. Step 5: Solve for x
    x = 155,194,613.76/14,203.84
  6. Step 6: Final answer
    x = 10,926.24

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1.5x scale

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.