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Finding the Fourth Proportional to 13,264.17, 18,307.16 and 7,602.71

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Solution

The fourth proportional to 13,264.17, 18,307.16 and 7,602.71 is: 10,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.17 : 18,307.16 = 7,602.71 : x
  2. Step 2: Convert to fraction form
    13,264.17/18,307.16 = 7,602.71/x
  3. Step 3: Cross multiply
    13,264.17x = 18,307.16 × 7,602.71
  4. Step 4: Simplify right side
    13,264.17x = 139,184,084.74
  5. Step 5: Solve for x
    x = 139,184,084.74/13,264.17
  6. Step 6: Final answer
    x = 10,493.24

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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.