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Finding the Fourth Proportional to 13,440.34, 18,547.74 and 7,774.98

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Solution

The fourth proportional to 13,440.34, 18,547.74 and 7,774.98 is: 10,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.34 : 18,547.74 = 7,774.98 : x
  2. Step 2: Convert to fraction form
    13,440.34/18,547.74 = 7,774.98/x
  3. Step 3: Cross multiply
    13,440.34x = 18,547.74 × 7,774.98
  4. Step 4: Simplify right side
    13,440.34x = 144,208,307.55
  5. Step 5: Solve for x
    x = 144,208,307.55/13,440.34
  6. Step 6: Final answer
    x = 10,729.51

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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.