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Finding the Fourth Proportional to 13,014.60, 19,492.74 and 7,809.72

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Solution

The fourth proportional to 13,014.60, 19,492.74 and 7,809.72 is: 11,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.60 : 19,492.74 = 7,809.72 : x
  2. Step 2: Convert to fraction form
    13,014.60/19,492.74 = 7,809.72/x
  3. Step 3: Cross multiply
    13,014.60x = 19,492.74 × 7,809.72
  4. Step 4: Simplify right side
    13,014.60x = 152,232,841.43
  5. Step 5: Solve for x
    x = 152,232,841.43/13,014.60
  6. Step 6: Final answer
    x = 11,697.08

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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.