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Finding the Fourth Proportional to 23,210.46, 32,038.70 and 13,779

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Solution

The fourth proportional to 23,210.46, 32,038.70 and 13,779 is: 19,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210.46 : 32,038.70 = 13,779 : x
  2. Step 2: Convert to fraction form
    23,210.46/32,038.70 = 13,779/x
  3. Step 3: Cross multiply
    23,210.46x = 32,038.70 × 13,779
  4. Step 4: Simplify right side
    23,210.46x = 441,461,178.41
  5. Step 5: Solve for x
    x = 441,461,178.41/23,210.46
  6. Step 6: Final answer
    x = 19,019.92

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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.