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Finding the Fourth Proportional to 19,465, 29,200.38 and 9,071.08

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Solution

The fourth proportional to 19,465, 29,200.38 and 9,071.08 is: 13,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,465 : 29,200.38 = 9,071.08 : x
  2. Step 2: Convert to fraction form
    19,465/29,200.38 = 9,071.08/x
  3. Step 3: Cross multiply
    19,465x = 29,200.38 × 9,071.08
  4. Step 4: Simplify right side
    19,465x = 264,878,983.01
  5. Step 5: Solve for x
    x = 264,878,983.01/19,465
  6. Step 6: Final answer
    x = 13,607.96

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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.