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Finding the Fourth Proportional to 17,707.79, 24,411.08 and 12,386.09

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Solution

The fourth proportional to 17,707.79, 24,411.08 and 12,386.09 is: 17,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.79 : 24,411.08 = 12,386.09 : x
  2. Step 2: Convert to fraction form
    17,707.79/24,411.08 = 12,386.09/x
  3. Step 3: Cross multiply
    17,707.79x = 24,411.08 × 12,386.09
  4. Step 4: Simplify right side
    17,707.79x = 302,357,649.89
  5. Step 5: Solve for x
    x = 302,357,649.89/17,707.79
  6. Step 6: Final answer
    x = 17,074.84

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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.