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Finding the Fourth Proportional to 23,642.41, 32,623.95 and 13,030

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Solution

The fourth proportional to 23,642.41, 32,623.95 and 13,030 is: 17,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.41 : 32,623.95 = 13,030 : x
  2. Step 2: Convert to fraction form
    23,642.41/32,623.95 = 13,030/x
  3. Step 3: Cross multiply
    23,642.41x = 32,623.95 × 13,030
  4. Step 4: Simplify right side
    23,642.41x = 425,090,068.50
  5. Step 5: Solve for x
    x = 425,090,068.50/23,642.41
  6. Step 6: Final answer
    x = 17,979.98

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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.