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Finding the Fourth Proportional to 14,017.80, 19,344.08 and 7,730.16

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Solution

The fourth proportional to 14,017.80, 19,344.08 and 7,730.16 is: 10,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.80 : 19,344.08 = 7,730.16 : x
  2. Step 2: Convert to fraction form
    14,017.80/19,344.08 = 7,730.16/x
  3. Step 3: Cross multiply
    14,017.80x = 19,344.08 × 7,730.16
  4. Step 4: Simplify right side
    14,017.80x = 149,532,833.45
  5. Step 5: Solve for x
    x = 149,532,833.45/14,017.80
  6. Step 6: Final answer
    x = 10,667.35

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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.