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Finding the Fourth Proportional to 23,504.10, 32,424.48 and 14,070.84

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Solution

The fourth proportional to 23,504.10, 32,424.48 and 14,070.84 is: 19,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.10 : 32,424.48 = 14,070.84 : x
  2. Step 2: Convert to fraction form
    23,504.10/32,424.48 = 14,070.84/x
  3. Step 3: Cross multiply
    23,504.10x = 32,424.48 × 14,070.84
  4. Step 4: Simplify right side
    23,504.10x = 456,239,670.16
  5. Step 5: Solve for x
    x = 456,239,670.16/23,504.10
  6. Step 6: Final answer
    x = 19,411.07

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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.