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Finding the Fourth Proportional to 12,970.68, 19,482.42 and 11,445.24

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Solution

The fourth proportional to 12,970.68, 19,482.42 and 11,445.24 is: 17,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.68 : 19,482.42 = 11,445.24 : x
  2. Step 2: Convert to fraction form
    12,970.68/19,482.42 = 11,445.24/x
  3. Step 3: Cross multiply
    12,970.68x = 19,482.42 × 11,445.24
  4. Step 4: Simplify right side
    12,970.68x = 222,980,972.68
  5. Step 5: Solve for x
    x = 222,980,972.68/12,970.68
  6. Step 6: Final answer
    x = 17,191.16

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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.