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Finding the Fourth Proportional to 17,688.65, 24,410.07 and 9,730.40

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Solution

The fourth proportional to 17,688.65, 24,410.07 and 9,730.40 is: 13,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.65 : 24,410.07 = 9,730.40 : x
  2. Step 2: Convert to fraction form
    17,688.65/24,410.07 = 9,730.40/x
  3. Step 3: Cross multiply
    17,688.65x = 24,410.07 × 9,730.40
  4. Step 4: Simplify right side
    17,688.65x = 237,519,623.08
  5. Step 5: Solve for x
    x = 237,519,623.08/17,688.65
  6. Step 6: Final answer
    x = 13,427.80

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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.