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Finding the Fourth Proportional to 21,575.48, 29,783.37 and 14,506

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Solution

The fourth proportional to 21,575.48, 29,783.37 and 14,506 is: 20,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.48 : 29,783.37 = 14,506 : x
  2. Step 2: Convert to fraction form
    21,575.48/29,783.37 = 14,506/x
  3. Step 3: Cross multiply
    21,575.48x = 29,783.37 × 14,506
  4. Step 4: Simplify right side
    21,575.48x = 432,037,565.22
  5. Step 5: Solve for x
    x = 432,037,565.22/21,575.48
  6. Step 6: Final answer
    x = 20,024.47

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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.