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Finding the Fourth Proportional to 23,547, 32,497.74 and 13,611

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Solution

The fourth proportional to 23,547, 32,497.74 and 13,611 is: 18,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547 : 32,497.74 = 13,611 : x
  2. Step 2: Convert to fraction form
    23,547/32,497.74 = 13,611/x
  3. Step 3: Cross multiply
    23,547x = 32,497.74 × 13,611
  4. Step 4: Simplify right side
    23,547x = 442,326,739.14
  5. Step 5: Solve for x
    x = 442,326,739.14/23,547
  6. Step 6: Final answer
    x = 18,784.84

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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.