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Finding the Fourth Proportional to 13,746.63, 18,970.41 and 7,459

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Solution

The fourth proportional to 13,746.63, 18,970.41 and 7,459 is: 10,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.63 : 18,970.41 = 7,459 : x
  2. Step 2: Convert to fraction form
    13,746.63/18,970.41 = 7,459/x
  3. Step 3: Cross multiply
    13,746.63x = 18,970.41 × 7,459
  4. Step 4: Simplify right side
    13,746.63x = 141,500,288.19
  5. Step 5: Solve for x
    x = 141,500,288.19/13,746.63
  6. Step 6: Final answer
    x = 10,293.45

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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.