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Finding the Fourth Proportional to 23,507, 32,438.58 and 14,080.76

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Solution

The fourth proportional to 23,507, 32,438.58 and 14,080.76 is: 19,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507 : 32,438.58 = 14,080.76 : x
  2. Step 2: Convert to fraction form
    23,507/32,438.58 = 14,080.76/x
  3. Step 3: Cross multiply
    23,507x = 32,438.58 × 14,080.76
  4. Step 4: Simplify right side
    23,507x = 456,759,859.72
  5. Step 5: Solve for x
    x = 456,759,859.72/23,507
  6. Step 6: Final answer
    x = 19,430.80

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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.