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Finding the Fourth Proportional to 12,808.34, 19,199.35 and 4,909.02

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Solution

The fourth proportional to 12,808.34, 19,199.35 and 4,909.02 is: 7,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.34 : 19,199.35 = 4,909.02 : x
  2. Step 2: Convert to fraction form
    12,808.34/19,199.35 = 4,909.02/x
  3. Step 3: Cross multiply
    12,808.34x = 19,199.35 × 4,909.02
  4. Step 4: Simplify right side
    12,808.34x = 94,249,993.14
  5. Step 5: Solve for x
    x = 94,249,993.14/12,808.34
  6. Step 6: Final answer
    x = 7,358.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.