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Finding the Fourth Proportional to 12,298.08, 16,970.85 and 6,920.40

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Solution

The fourth proportional to 12,298.08, 16,970.85 and 6,920.40 is: 9,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.08 : 16,970.85 = 6,920.40 : x
  2. Step 2: Convert to fraction form
    12,298.08/16,970.85 = 6,920.40/x
  3. Step 3: Cross multiply
    12,298.08x = 16,970.85 × 6,920.40
  4. Step 4: Simplify right side
    12,298.08x = 117,445,070.34
  5. Step 5: Solve for x
    x = 117,445,070.34/12,298.08
  6. Step 6: Final answer
    x = 9,549.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.