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Finding the Fourth Proportional to 12,985.30, 19,499.55 and 7,146.10

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Solution

The fourth proportional to 12,985.30, 19,499.55 and 7,146.10 is: 10,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.30 : 19,499.55 = 7,146.10 : x
  2. Step 2: Convert to fraction form
    12,985.30/19,499.55 = 7,146.10/x
  3. Step 3: Cross multiply
    12,985.30x = 19,499.55 × 7,146.10
  4. Step 4: Simplify right side
    12,985.30x = 139,345,734.26
  5. Step 5: Solve for x
    x = 139,345,734.26/12,985.30
  6. Step 6: Final answer
    x = 10,731.04

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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.