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Finding the Fourth Proportional to 12,803.21, 19,207.65 and 4,038.20

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Solution

The fourth proportional to 12,803.21, 19,207.65 and 4,038.20 is: 6,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.21 : 19,207.65 = 4,038.20 : x
  2. Step 2: Convert to fraction form
    12,803.21/19,207.65 = 4,038.20/x
  3. Step 3: Cross multiply
    12,803.21x = 19,207.65 × 4,038.20
  4. Step 4: Simplify right side
    12,803.21x = 77,564,332.23
  5. Step 5: Solve for x
    x = 77,564,332.23/12,803.21
  6. Step 6: Final answer
    x = 6,058.19

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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.