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Finding the Fourth Proportional to 13,302.71, 18,348.50 and 10,784.91

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Solution

The fourth proportional to 13,302.71, 18,348.50 and 10,784.91 is: 14,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.71 : 18,348.50 = 10,784.91 : x
  2. Step 2: Convert to fraction form
    13,302.71/18,348.50 = 10,784.91/x
  3. Step 3: Cross multiply
    13,302.71x = 18,348.50 × 10,784.91
  4. Step 4: Simplify right side
    13,302.71x = 197,886,948.10
  5. Step 5: Solve for x
    x = 197,886,948.10/13,302.71
  6. Step 6: Final answer
    x = 14,875.69

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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.