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Finding the Fourth Proportional to 44,009.64, 65,980.44 and 14,409

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Solution

The fourth proportional to 44,009.64, 65,980.44 and 14,409 is: 21,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,009.64 : 65,980.44 = 14,409 : x
  2. Step 2: Convert to fraction form
    44,009.64/65,980.44 = 14,409/x
  3. Step 3: Cross multiply
    44,009.64x = 65,980.44 × 14,409
  4. Step 4: Simplify right side
    44,009.64x = 950,712,159.96
  5. Step 5: Solve for x
    x = 950,712,159.96/44,009.64
  6. Step 6: Final answer
    x = 21,602.36

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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.