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Finding the Fourth Proportional to 13,790.94, 19,031.54 and 7,503.32

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Solution

The fourth proportional to 13,790.94, 19,031.54 and 7,503.32 is: 10,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.94 : 19,031.54 = 7,503.32 : x
  2. Step 2: Convert to fraction form
    13,790.94/19,031.54 = 7,503.32/x
  3. Step 3: Cross multiply
    13,790.94x = 19,031.54 × 7,503.32
  4. Step 4: Simplify right side
    13,790.94x = 142,799,602.04
  5. Step 5: Solve for x
    x = 142,799,602.04/13,790.94
  6. Step 6: Final answer
    x = 10,354.60

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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.