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Finding the Fourth Proportional to 12,970.48, 19,454.64 and 7,132

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Solution

The fourth proportional to 12,970.48, 19,454.64 and 7,132 is: 10,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.48 : 19,454.64 = 7,132 : x
  2. Step 2: Convert to fraction form
    12,970.48/19,454.64 = 7,132/x
  3. Step 3: Cross multiply
    12,970.48x = 19,454.64 × 7,132
  4. Step 4: Simplify right side
    12,970.48x = 138,750,492.48
  5. Step 5: Solve for x
    x = 138,750,492.48/12,970.48
  6. Step 6: Final answer
    x = 10,697.41

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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.