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Finding the Fourth Proportional to 19,477.74, 29,218.65 and 9,607.53

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Solution

The fourth proportional to 19,477.74, 29,218.65 and 9,607.53 is: 14,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.74 : 29,218.65 = 9,607.53 : x
  2. Step 2: Convert to fraction form
    19,477.74/29,218.65 = 9,607.53/x
  3. Step 3: Cross multiply
    19,477.74x = 29,218.65 × 9,607.53
  4. Step 4: Simplify right side
    19,477.74x = 280,719,056.43
  5. Step 5: Solve for x
    x = 280,719,056.43/19,477.74
  6. Step 6: Final answer
    x = 14,412.30

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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.